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Finding the Third Proportional to 10,981.69 and 17,461.13

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Solution

The third proportional to 10,981.69 and 17,461.13 is: 27,763.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,981.69 : 17,461.13 = 17,461.13 : x
  2. Step 2: Convert to fraction form
    10,981.69/17,461.13 = 17,461.13/x
  3. Step 3: Cross multiply
    10,981.69x = 17,461.13 × 17,461.13
  4. Step 4: Simplify right side
    10,981.69x = 304,890,886.27
  5. Step 5: Solve for x
    x = 304,890,886.27/10,981.69
  6. Step 6: Final answer
    x = 27,763.57

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.