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Finding the Third Proportional to 2,169.47 and 4,752.94

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Solution

The third proportional to 2,169.47 and 4,752.94 is: 10,412.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.47 : 4,752.94 = 4,752.94 : x
  2. Step 2: Convert to fraction form
    2,169.47/4,752.94 = 4,752.94/x
  3. Step 3: Cross multiply
    2,169.47x = 4,752.94 × 4,752.94
  4. Step 4: Simplify right side
    2,169.47x = 22,590,414.88
  5. Step 5: Solve for x
    x = 22,590,414.88/2,169.47
  6. Step 6: Final answer
    x = 10,412.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.