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Finding the Third Proportional to 15,319.13 and 31,002.75

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Solution

The third proportional to 15,319.13 and 31,002.75 is: 62,743.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,319.13 : 31,002.75 = 31,002.75 : x
  2. Step 2: Convert to fraction form
    15,319.13/31,002.75 = 31,002.75/x
  3. Step 3: Cross multiply
    15,319.13x = 31,002.75 × 31,002.75
  4. Step 4: Simplify right side
    15,319.13x = 961,170,507.56
  5. Step 5: Solve for x
    x = 961,170,507.56/15,319.13
  6. Step 6: Final answer
    x = 62,743.17

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.