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Finding the Third Proportional to 15,896.25 and 24,604.88

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Solution

The third proportional to 15,896.25 and 24,604.88 is: 38,084.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,896.25 : 24,604.88 = 24,604.88 : x
  2. Step 2: Convert to fraction form
    15,896.25/24,604.88 = 24,604.88/x
  3. Step 3: Cross multiply
    15,896.25x = 24,604.88 × 24,604.88
  4. Step 4: Simplify right side
    15,896.25x = 605,399,873.77
  5. Step 5: Solve for x
    x = 605,399,873.77/15,896.25
  6. Step 6: Final answer
    x = 38,084.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.