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Finding the Third Proportional to 17,488.13 and 24,534

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Solution

The third proportional to 17,488.13 and 24,534 is: 34,418.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,488.13 : 24,534 = 24,534 : x
  2. Step 2: Convert to fraction form
    17,488.13/24,534 = 24,534/x
  3. Step 3: Cross multiply
    17,488.13x = 24,534 × 24,534
  4. Step 4: Simplify right side
    17,488.13x = 601,917,156
  5. Step 5: Solve for x
    x = 601,917,156/17,488.13
  6. Step 6: Final answer
    x = 34,418.62

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.