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Finding the Third Proportional to 4,965.75 and 8,542.13

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Solution

The third proportional to 4,965.75 and 8,542.13 is: 14,694.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.75 : 8,542.13 = 8,542.13 : x
  2. Step 2: Convert to fraction form
    4,965.75/8,542.13 = 8,542.13/x
  3. Step 3: Cross multiply
    4,965.75x = 8,542.13 × 8,542.13
  4. Step 4: Simplify right side
    4,965.75x = 72,967,899.52
  5. Step 5: Solve for x
    x = 72,967,899.52/4,965.75
  6. Step 6: Final answer
    x = 14,694.24

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.