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Finding the Third Proportional to 4,752.84 and 9,627.61

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Solution

The third proportional to 4,752.84 and 9,627.61 is: 19,502.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.84 : 9,627.61 = 9,627.61 : x
  2. Step 2: Convert to fraction form
    4,752.84/9,627.61 = 9,627.61/x
  3. Step 3: Cross multiply
    4,752.84x = 9,627.61 × 9,627.61
  4. Step 4: Simplify right side
    4,752.84x = 92,690,862.28
  5. Step 5: Solve for x
    x = 92,690,862.28/4,752.84
  6. Step 6: Final answer
    x = 19,502.19

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.