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Finding the Third Proportional to 4,727.38 and 10,283.75

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Solution

The third proportional to 4,727.38 and 10,283.75 is: 22,370.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,727.38 : 10,283.75 = 10,283.75 : x
  2. Step 2: Convert to fraction form
    4,727.38/10,283.75 = 10,283.75/x
  3. Step 3: Cross multiply
    4,727.38x = 10,283.75 × 10,283.75
  4. Step 4: Simplify right side
    4,727.38x = 105,755,514.06
  5. Step 5: Solve for x
    x = 105,755,514.06/4,727.38
  6. Step 6: Final answer
    x = 22,370.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.