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Finding the Third Proportional to 4,142.06 and 9,013.13

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Solution

The third proportional to 4,142.06 and 9,013.13 is: 19,612.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.06 : 9,013.13 = 9,013.13 : x
  2. Step 2: Convert to fraction form
    4,142.06/9,013.13 = 9,013.13/x
  3. Step 3: Cross multiply
    4,142.06x = 9,013.13 × 9,013.13
  4. Step 4: Simplify right side
    4,142.06x = 81,236,422.27
  5. Step 5: Solve for x
    x = 81,236,422.27/4,142.06
  6. Step 6: Final answer
    x = 19,612.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.