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Finding the Third Proportional to 2,285.72 and 4,752.42

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Solution

The third proportional to 2,285.72 and 4,752.42 is: 9,881.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.72 : 4,752.42 = 4,752.42 : x
  2. Step 2: Convert to fraction form
    2,285.72/4,752.42 = 4,752.42/x
  3. Step 3: Cross multiply
    2,285.72x = 4,752.42 × 4,752.42
  4. Step 4: Simplify right side
    2,285.72x = 22,585,513.68
  5. Step 5: Solve for x
    x = 22,585,513.68/2,285.72
  6. Step 6: Final answer
    x = 9,881.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.