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Finding the Third Proportional to 15,675 and 33,537

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Solution

The third proportional to 15,675 and 33,537 is: 71,753.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,675 : 33,537 = 33,537 : x
  2. Step 2: Convert to fraction form
    15,675/33,537 = 33,537/x
  3. Step 3: Cross multiply
    15,675x = 33,537 × 33,537
  4. Step 4: Simplify right side
    15,675x = 1,124,730,369
  5. Step 5: Solve for x
    x = 1,124,730,369/15,675
  6. Step 6: Final answer
    x = 71,753.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.