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Finding the Third Proportional to 4,679.65 and 10,138.13

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Solution

The third proportional to 4,679.65 and 10,138.13 is: 21,963.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,679.65 : 10,138.13 = 10,138.13 : x
  2. Step 2: Convert to fraction form
    4,679.65/10,138.13 = 10,138.13/x
  3. Step 3: Cross multiply
    4,679.65x = 10,138.13 × 10,138.13
  4. Step 4: Simplify right side
    4,679.65x = 102,781,697.32
  5. Step 5: Solve for x
    x = 102,781,697.32/4,679.65
  6. Step 6: Final answer
    x = 21,963.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.