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Finding the Third Proportional to 48,038 and 76,741

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Solution

The third proportional to 48,038 and 76,741 is: 122,594.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,038 : 76,741 = 76,741 : x
  2. Step 2: Convert to fraction form
    48,038/76,741 = 76,741/x
  3. Step 3: Cross multiply
    48,038x = 76,741 × 76,741
  4. Step 4: Simplify right side
    48,038x = 5,889,181,081
  5. Step 5: Solve for x
    x = 5,889,181,081/48,038
  6. Step 6: Final answer
    x = 122,594.22

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.