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Finding the Third Proportional to 12,688.50 and 30,531

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Solution

The third proportional to 12,688.50 and 30,531 is: 73,463.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,688.50 : 30,531 = 30,531 : x
  2. Step 2: Convert to fraction form
    12,688.50/30,531 = 30,531/x
  3. Step 3: Cross multiply
    12,688.50x = 30,531 × 30,531
  4. Step 4: Simplify right side
    12,688.50x = 932,141,961
  5. Step 5: Solve for x
    x = 932,141,961/12,688.50
  6. Step 6: Final answer
    x = 73,463.53

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.