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Finding the Third Proportional to 18,481 and 40,537

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Solution

The third proportional to 18,481 and 40,537 is: 88,915.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,481 : 40,537 = 40,537 : x
  2. Step 2: Convert to fraction form
    18,481/40,537 = 40,537/x
  3. Step 3: Cross multiply
    18,481x = 40,537 × 40,537
  4. Step 4: Simplify right side
    18,481x = 1,643,248,369
  5. Step 5: Solve for x
    x = 1,643,248,369/18,481
  6. Step 6: Final answer
    x = 88,915.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.