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Finding the Third Proportional to 17,583.75 and 28,306.13

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Solution

The third proportional to 17,583.75 and 28,306.13 is: 45,566.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,583.75 : 28,306.13 = 28,306.13 : x
  2. Step 2: Convert to fraction form
    17,583.75/28,306.13 = 28,306.13/x
  3. Step 3: Cross multiply
    17,583.75x = 28,306.13 × 28,306.13
  4. Step 4: Simplify right side
    17,583.75x = 801,236,712.52
  5. Step 5: Solve for x
    x = 801,236,712.52/17,583.75
  6. Step 6: Final answer
    x = 45,566.88

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.