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Finding the Third Proportional to 32,537 and 48,531

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Solution

The third proportional to 32,537 and 48,531 is: 72,387.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,537 : 48,531 = 48,531 : x
  2. Step 2: Convert to fraction form
    32,537/48,531 = 48,531/x
  3. Step 3: Cross multiply
    32,537x = 48,531 × 48,531
  4. Step 4: Simplify right side
    32,537x = 2,355,257,961
  5. Step 5: Solve for x
    x = 2,355,257,961/32,537
  6. Step 6: Final answer
    x = 72,387.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.