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Finding the Third Proportional to 4,387.78 and 10,358.16

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Solution

The third proportional to 4,387.78 and 10,358.16 is: 24,452.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,387.78 : 10,358.16 = 10,358.16 : x
  2. Step 2: Convert to fraction form
    4,387.78/10,358.16 = 10,358.16/x
  3. Step 3: Cross multiply
    4,387.78x = 10,358.16 × 10,358.16
  4. Step 4: Simplify right side
    4,387.78x = 107,291,400.90
  5. Step 5: Solve for x
    x = 107,291,400.90/4,387.78
  6. Step 6: Final answer
    x = 24,452.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.