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Finding the Third Proportional to 48,593 and 72,637

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Solution

The third proportional to 48,593 and 72,637 is: 108,578.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,593 : 72,637 = 72,637 : x
  2. Step 2: Convert to fraction form
    48,593/72,637 = 72,637/x
  3. Step 3: Cross multiply
    48,593x = 72,637 × 72,637
  4. Step 4: Simplify right side
    48,593x = 5,276,133,769
  5. Step 5: Solve for x
    x = 5,276,133,769/48,593
  6. Step 6: Final answer
    x = 108,578.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.