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Finding the Third Proportional to 29,577.50 and 64,145.75

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Solution

The third proportional to 29,577.50 and 64,145.75 is: 139,115.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,577.50 : 64,145.75 = 64,145.75 : x
  2. Step 2: Convert to fraction form
    29,577.50/64,145.75 = 64,145.75/x
  3. Step 3: Cross multiply
    29,577.50x = 64,145.75 × 64,145.75
  4. Step 4: Simplify right side
    29,577.50x = 4,114,677,243.06
  5. Step 5: Solve for x
    x = 4,114,677,243.06/29,577.50
  6. Step 6: Final answer
    x = 139,115.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.