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Finding the Third Proportional to 8,947.13 and 16,345.13

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Solution

The third proportional to 8,947.13 and 16,345.13 is: 29,860.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.13 : 16,345.13 = 16,345.13 : x
  2. Step 2: Convert to fraction form
    8,947.13/16,345.13 = 16,345.13/x
  3. Step 3: Cross multiply
    8,947.13x = 16,345.13 × 16,345.13
  4. Step 4: Simplify right side
    8,947.13x = 267,163,111.27
  5. Step 5: Solve for x
    x = 267,163,111.27/8,947.13
  6. Step 6: Final answer
    x = 29,860.22

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.