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Finding the Third Proportional to 22,513.50 and 25,429.50

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Solution

The third proportional to 22,513.50 and 25,429.50 is: 28,723.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,513.50 : 25,429.50 = 25,429.50 : x
  2. Step 2: Convert to fraction form
    22,513.50/25,429.50 = 25,429.50/x
  3. Step 3: Cross multiply
    22,513.50x = 25,429.50 × 25,429.50
  4. Step 4: Simplify right side
    22,513.50x = 646,659,470.25
  5. Step 5: Solve for x
    x = 646,659,470.25/22,513.50
  6. Step 6: Final answer
    x = 28,723.19

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.