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Finding the Third Proportional to 16,468 and 25,537

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Solution

The third proportional to 16,468 and 25,537 is: 39,600.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,468 : 25,537 = 25,537 : x
  2. Step 2: Convert to fraction form
    16,468/25,537 = 25,537/x
  3. Step 3: Cross multiply
    16,468x = 25,537 × 25,537
  4. Step 4: Simplify right side
    16,468x = 652,138,369
  5. Step 5: Solve for x
    x = 652,138,369/16,468
  6. Step 6: Final answer
    x = 39,600.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.