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Finding the Third Proportional to 15,727.61 and 23,625.11

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Solution

The third proportional to 15,727.61 and 23,625.11 is: 35,488.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,727.61 : 23,625.11 = 23,625.11 : x
  2. Step 2: Convert to fraction form
    15,727.61/23,625.11 = 23,625.11/x
  3. Step 3: Cross multiply
    15,727.61x = 23,625.11 × 23,625.11
  4. Step 4: Simplify right side
    15,727.61x = 558,145,608.41
  5. Step 5: Solve for x
    x = 558,145,608.41/15,727.61
  6. Step 6: Final answer
    x = 35,488.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.