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Finding the Third Proportional to 11,395.69 and 24,963.19

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Solution

The third proportional to 11,395.69 and 24,963.19 is: 54,683.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,395.69 : 24,963.19 = 24,963.19 : x
  2. Step 2: Convert to fraction form
    11,395.69/24,963.19 = 24,963.19/x
  3. Step 3: Cross multiply
    11,395.69x = 24,963.19 × 24,963.19
  4. Step 4: Simplify right side
    11,395.69x = 623,160,730.16
  5. Step 5: Solve for x
    x = 623,160,730.16/11,395.69
  6. Step 6: Final answer
    x = 54,683.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.