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Finding the Third Proportional to 15,785.50 and 24,508.25

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Solution

The third proportional to 15,785.50 and 24,508.25 is: 38,051.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,785.50 : 24,508.25 = 24,508.25 : x
  2. Step 2: Convert to fraction form
    15,785.50/24,508.25 = 24,508.25/x
  3. Step 3: Cross multiply
    15,785.50x = 24,508.25 × 24,508.25
  4. Step 4: Simplify right side
    15,785.50x = 600,654,318.06
  5. Step 5: Solve for x
    x = 600,654,318.06/15,785.50
  6. Step 6: Final answer
    x = 38,051.02

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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.