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Finding the Third Proportional to 2,387.76 and 5,246.81

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Solution

The third proportional to 2,387.76 and 5,246.81 is: 11,529.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.76 : 5,246.81 = 5,246.81 : x
  2. Step 2: Convert to fraction form
    2,387.76/5,246.81 = 5,246.81/x
  3. Step 3: Cross multiply
    2,387.76x = 5,246.81 × 5,246.81
  4. Step 4: Simplify right side
    2,387.76x = 27,528,979.92
  5. Step 5: Solve for x
    x = 27,528,979.92/2,387.76
  6. Step 6: Final answer
    x = 11,529.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.