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Finding the Third Proportional to 48,377 and 74,723

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Solution

The third proportional to 48,377 and 74,723 is: 115,416.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,377 : 74,723 = 74,723 : x
  2. Step 2: Convert to fraction form
    48,377/74,723 = 74,723/x
  3. Step 3: Cross multiply
    48,377x = 74,723 × 74,723
  4. Step 4: Simplify right side
    48,377x = 5,583,526,729
  5. Step 5: Solve for x
    x = 5,583,526,729/48,377
  6. Step 6: Final answer
    x = 115,416.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.