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Finding the Third Proportional to 38,250 and 55,099.13

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Solution

The third proportional to 38,250 and 55,099.13 is: 79,370.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,250 : 55,099.13 = 55,099.13 : x
  2. Step 2: Convert to fraction form
    38,250/55,099.13 = 55,099.13/x
  3. Step 3: Cross multiply
    38,250x = 55,099.13 × 55,099.13
  4. Step 4: Simplify right side
    38,250x = 3,035,913,575.77
  5. Step 5: Solve for x
    x = 3,035,913,575.77/38,250
  6. Step 6: Final answer
    x = 79,370.29

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.