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Finding the Third Proportional to 4,997.74 and 10,687.46

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Solution

The third proportional to 4,997.74 and 10,687.46 is: 22,854.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.74 : 10,687.46 = 10,687.46 : x
  2. Step 2: Convert to fraction form
    4,997.74/10,687.46 = 10,687.46/x
  3. Step 3: Cross multiply
    4,997.74x = 10,687.46 × 10,687.46
  4. Step 4: Simplify right side
    4,997.74x = 114,221,904.79
  5. Step 5: Solve for x
    x = 114,221,904.79/4,997.74
  6. Step 6: Final answer
    x = 22,854.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.