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Finding the Third Proportional to 5,113.13 and 12,132.28

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Solution

The third proportional to 5,113.13 and 12,132.28 is: 28,787.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.13 : 12,132.28 = 12,132.28 : x
  2. Step 2: Convert to fraction form
    5,113.13/12,132.28 = 12,132.28/x
  3. Step 3: Cross multiply
    5,113.13x = 12,132.28 × 12,132.28
  4. Step 4: Simplify right side
    5,113.13x = 147,192,248.33
  5. Step 5: Solve for x
    x = 147,192,248.33/5,113.13
  6. Step 6: Final answer
    x = 28,787.14

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.