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Finding the Third Proportional to 4,972.92 and 10,724.20

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Solution

The third proportional to 4,972.92 and 10,724.20 is: 23,126.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.92 : 10,724.20 = 10,724.20 : x
  2. Step 2: Convert to fraction form
    4,972.92/10,724.20 = 10,724.20/x
  3. Step 3: Cross multiply
    4,972.92x = 10,724.20 × 10,724.20
  4. Step 4: Simplify right side
    4,972.92x = 115,008,532.67
  5. Step 5: Solve for x
    x = 115,008,532.67/4,972.92
  6. Step 6: Final answer
    x = 23,126.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.