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Finding the Third Proportional to 32,278.50 and 69,655

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Solution

The third proportional to 32,278.50 and 69,655 is: 150,311.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,278.50 : 69,655 = 69,655 : x
  2. Step 2: Convert to fraction form
    32,278.50/69,655 = 69,655/x
  3. Step 3: Cross multiply
    32,278.50x = 69,655 × 69,655
  4. Step 4: Simplify right side
    32,278.50x = 4,851,819,025
  5. Step 5: Solve for x
    x = 4,851,819,025/32,278.50
  6. Step 6: Final answer
    x = 150,311.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.