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Finding the Third Proportional to 10,522.13 and 15,960.38

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Solution

The third proportional to 10,522.13 and 15,960.38 is: 24,209.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.13 : 15,960.38 = 15,960.38 : x
  2. Step 2: Convert to fraction form
    10,522.13/15,960.38 = 15,960.38/x
  3. Step 3: Cross multiply
    10,522.13x = 15,960.38 × 15,960.38
  4. Step 4: Simplify right side
    10,522.13x = 254,733,570.14
  5. Step 5: Solve for x
    x = 254,733,570.14/10,522.13
  6. Step 6: Final answer
    x = 24,209.33

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.