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Finding the Third Proportional to 28,286.25 and 59,853

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Solution

The third proportional to 28,286.25 and 59,853 is: 126,647.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,286.25 : 59,853 = 59,853 : x
  2. Step 2: Convert to fraction form
    28,286.25/59,853 = 59,853/x
  3. Step 3: Cross multiply
    28,286.25x = 59,853 × 59,853
  4. Step 4: Simplify right side
    28,286.25x = 3,582,381,609
  5. Step 5: Solve for x
    x = 3,582,381,609/28,286.25
  6. Step 6: Final answer
    x = 126,647.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.