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Finding the Third Proportional to 17,484 and 38,913

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Solution

The third proportional to 17,484 and 38,913 is: 86,606.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,484 : 38,913 = 38,913 : x
  2. Step 2: Convert to fraction form
    17,484/38,913 = 38,913/x
  3. Step 3: Cross multiply
    17,484x = 38,913 × 38,913
  4. Step 4: Simplify right side
    17,484x = 1,514,221,569
  5. Step 5: Solve for x
    x = 1,514,221,569/17,484
  6. Step 6: Final answer
    x = 86,606.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.