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Finding the Third Proportional to 4,978.13 and 10,711.13

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Solution

The third proportional to 4,978.13 and 10,711.13 is: 23,046.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.13 : 10,711.13 = 10,711.13 : x
  2. Step 2: Convert to fraction form
    4,978.13/10,711.13 = 10,711.13/x
  3. Step 3: Cross multiply
    4,978.13x = 10,711.13 × 10,711.13
  4. Step 4: Simplify right side
    4,978.13x = 114,728,198.77
  5. Step 5: Solve for x
    x = 114,728,198.77/4,978.13
  6. Step 6: Final answer
    x = 23,046.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.