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Finding the Third Proportional to 6,976.13 and 13,132.13

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Solution

The third proportional to 6,976.13 and 13,132.13 is: 24,720.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.13 : 13,132.13 = 13,132.13 : x
  2. Step 2: Convert to fraction form
    6,976.13/13,132.13 = 13,132.13/x
  3. Step 3: Cross multiply
    6,976.13x = 13,132.13 × 13,132.13
  4. Step 4: Simplify right side
    6,976.13x = 172,452,707.02
  5. Step 5: Solve for x
    x = 172,452,707.02/6,976.13
  6. Step 6: Final answer
    x = 24,720.42

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.