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Finding the Third Proportional to 38,275 and 55,900

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Solution

The third proportional to 38,275 and 55,900 is: 81,641.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,275 : 55,900 = 55,900 : x
  2. Step 2: Convert to fraction form
    38,275/55,900 = 55,900/x
  3. Step 3: Cross multiply
    38,275x = 55,900 × 55,900
  4. Step 4: Simplify right side
    38,275x = 3,124,810,000
  5. Step 5: Solve for x
    x = 3,124,810,000/38,275
  6. Step 6: Final answer
    x = 81,641.02

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.