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Finding the Third Proportional to 7,951.13 and 17,132.25

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Solution

The third proportional to 7,951.13 and 17,132.25 is: 36,914.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.13 : 17,132.25 = 17,132.25 : x
  2. Step 2: Convert to fraction form
    7,951.13/17,132.25 = 17,132.25/x
  3. Step 3: Cross multiply
    7,951.13x = 17,132.25 × 17,132.25
  4. Step 4: Simplify right side
    7,951.13x = 293,513,990.06
  5. Step 5: Solve for x
    x = 293,513,990.06/7,951.13
  6. Step 6: Final answer
    x = 36,914.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.