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Finding the Third Proportional to 48,917 and 57,773

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Solution

The third proportional to 48,917 and 57,773 is: 68,232.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,917 : 57,773 = 57,773 : x
  2. Step 2: Convert to fraction form
    48,917/57,773 = 57,773/x
  3. Step 3: Cross multiply
    48,917x = 57,773 × 57,773
  4. Step 4: Simplify right side
    48,917x = 3,337,719,529
  5. Step 5: Solve for x
    x = 3,337,719,529/48,917
  6. Step 6: Final answer
    x = 68,232.30

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.