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Finding the Third Proportional to 37,549 and 52,495

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Solution

The third proportional to 37,549 and 52,495 is: 73,390.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,549 : 52,495 = 52,495 : x
  2. Step 2: Convert to fraction form
    37,549/52,495 = 52,495/x
  3. Step 3: Cross multiply
    37,549x = 52,495 × 52,495
  4. Step 4: Simplify right side
    37,549x = 2,755,725,025
  5. Step 5: Solve for x
    x = 2,755,725,025/37,549
  6. Step 6: Final answer
    x = 73,390.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.