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Finding the Third Proportional to 30,334.50 and 64,405.13

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Solution

The third proportional to 30,334.50 and 64,405.13 is: 136,742.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,334.50 : 64,405.13 = 64,405.13 : x
  2. Step 2: Convert to fraction form
    30,334.50/64,405.13 = 64,405.13/x
  3. Step 3: Cross multiply
    30,334.50x = 64,405.13 × 64,405.13
  4. Step 4: Simplify right side
    30,334.50x = 4,148,020,126.27
  5. Step 5: Solve for x
    x = 4,148,020,126.27/30,334.50
  6. Step 6: Final answer
    x = 136,742.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.