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Finding the Third Proportional to 11,395.81 and 24,614.13

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Solution

The third proportional to 11,395.81 and 24,614.13 is: 53,164.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,395.81 : 24,614.13 = 24,614.13 : x
  2. Step 2: Convert to fraction form
    11,395.81/24,614.13 = 24,614.13/x
  3. Step 3: Cross multiply
    11,395.81x = 24,614.13 × 24,614.13
  4. Step 4: Simplify right side
    11,395.81x = 605,855,149.52
  5. Step 5: Solve for x
    x = 605,855,149.52/11,395.81
  6. Step 6: Final answer
    x = 53,164.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.