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Finding the Third Proportional to 15,498 and 35,514

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Solution

The third proportional to 15,498 and 35,514 is: 81,381.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,498 : 35,514 = 35,514 : x
  2. Step 2: Convert to fraction form
    15,498/35,514 = 35,514/x
  3. Step 3: Cross multiply
    15,498x = 35,514 × 35,514
  4. Step 4: Simplify right side
    15,498x = 1,261,244,196
  5. Step 5: Solve for x
    x = 1,261,244,196/15,498
  6. Step 6: Final answer
    x = 81,381.09

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.