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Finding the Third Proportional to 4,966.31 and 10,712.17

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Solution

The third proportional to 4,966.31 and 10,712.17 is: 23,105.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.31 : 10,712.17 = 10,712.17 : x
  2. Step 2: Convert to fraction form
    4,966.31/10,712.17 = 10,712.17/x
  3. Step 3: Cross multiply
    4,966.31x = 10,712.17 × 10,712.17
  4. Step 4: Simplify right side
    4,966.31x = 114,750,605.36
  5. Step 5: Solve for x
    x = 114,750,605.36/4,966.31
  6. Step 6: Final answer
    x = 23,105.80

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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.