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Finding the Third Proportional to 14,434.31 and 30,016.13

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Solution

The third proportional to 14,434.31 and 30,016.13 is: 62,418.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,434.31 : 30,016.13 = 30,016.13 : x
  2. Step 2: Convert to fraction form
    14,434.31/30,016.13 = 30,016.13/x
  3. Step 3: Cross multiply
    14,434.31x = 30,016.13 × 30,016.13
  4. Step 4: Simplify right side
    14,434.31x = 900,967,760.02
  5. Step 5: Solve for x
    x = 900,967,760.02/14,434.31
  6. Step 6: Final answer
    x = 62,418.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.