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Finding the Third Proportional to 10,986.26 and 24,005.74

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Solution

The third proportional to 10,986.26 and 24,005.74 is: 52,454.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,986.26 : 24,005.74 = 24,005.74 : x
  2. Step 2: Convert to fraction form
    10,986.26/24,005.74 = 24,005.74/x
  3. Step 3: Cross multiply
    10,986.26x = 24,005.74 × 24,005.74
  4. Step 4: Simplify right side
    10,986.26x = 576,275,657.97
  5. Step 5: Solve for x
    x = 576,275,657.97/10,986.26
  6. Step 6: Final answer
    x = 52,454.23

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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.