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Finding the Third Proportional to 5,386.13 and 11,424.38

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Solution

The third proportional to 5,386.13 and 11,424.38 is: 24,231.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386.13 : 11,424.38 = 11,424.38 : x
  2. Step 2: Convert to fraction form
    5,386.13/11,424.38 = 11,424.38/x
  3. Step 3: Cross multiply
    5,386.13x = 11,424.38 × 11,424.38
  4. Step 4: Simplify right side
    5,386.13x = 130,516,344.14
  5. Step 5: Solve for x
    x = 130,516,344.14/5,386.13
  6. Step 6: Final answer
    x = 24,231.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.