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Finding the Third Proportional to 2,475.28 and 5,154.61

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Solution

The third proportional to 2,475.28 and 5,154.61 is: 10,734.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.28 : 5,154.61 = 5,154.61 : x
  2. Step 2: Convert to fraction form
    2,475.28/5,154.61 = 5,154.61/x
  3. Step 3: Cross multiply
    2,475.28x = 5,154.61 × 5,154.61
  4. Step 4: Simplify right side
    2,475.28x = 26,569,997.81
  5. Step 5: Solve for x
    x = 26,569,997.81/2,475.28
  6. Step 6: Final answer
    x = 10,734.13

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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.