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Finding the Third Proportional to 36,099 and 58,160.25

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Solution

The third proportional to 36,099 and 58,160.25 is: 93,703.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,099 : 58,160.25 = 58,160.25 : x
  2. Step 2: Convert to fraction form
    36,099/58,160.25 = 58,160.25/x
  3. Step 3: Cross multiply
    36,099x = 58,160.25 × 58,160.25
  4. Step 4: Simplify right side
    36,099x = 3,382,614,680.06
  5. Step 5: Solve for x
    x = 3,382,614,680.06/36,099
  6. Step 6: Final answer
    x = 93,703.83

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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.