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Finding the Third Proportional to 4,426.31 and 8,146.13

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Solution

The third proportional to 4,426.31 and 8,146.13 is: 14,992.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,426.31 : 8,146.13 = 8,146.13 : x
  2. Step 2: Convert to fraction form
    4,426.31/8,146.13 = 8,146.13/x
  3. Step 3: Cross multiply
    4,426.31x = 8,146.13 × 8,146.13
  4. Step 4: Simplify right side
    4,426.31x = 66,359,352.52
  5. Step 5: Solve for x
    x = 66,359,352.52/4,426.31
  6. Step 6: Final answer
    x = 14,992.02

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.