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Finding the Third Proportional to 4,422.38 and 10,424.81

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Solution

The third proportional to 4,422.38 and 10,424.81 is: 24,574.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,422.38 : 10,424.81 = 10,424.81 : x
  2. Step 2: Convert to fraction form
    4,422.38/10,424.81 = 10,424.81/x
  3. Step 3: Cross multiply
    4,422.38x = 10,424.81 × 10,424.81
  4. Step 4: Simplify right side
    4,422.38x = 108,676,715.66
  5. Step 5: Solve for x
    x = 108,676,715.66/4,422.38
  6. Step 6: Final answer
    x = 24,574.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.