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Finding the Third Proportional to 4,337.16 and 4,792.78

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Solution

The third proportional to 4,337.16 and 4,792.78 is: 5,296.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,337.16 : 4,792.78 = 4,792.78 : x
  2. Step 2: Convert to fraction form
    4,337.16/4,792.78 = 4,792.78/x
  3. Step 3: Cross multiply
    4,337.16x = 4,792.78 × 4,792.78
  4. Step 4: Simplify right side
    4,337.16x = 22,970,752.11
  5. Step 5: Solve for x
    x = 22,970,752.11/4,337.16
  6. Step 6: Final answer
    x = 5,296.27

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.