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Finding the Third Proportional to 48,921 and 57,777

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Solution

The third proportional to 48,921 and 57,777 is: 68,236.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,921 : 57,777 = 57,777 : x
  2. Step 2: Convert to fraction form
    48,921/57,777 = 57,777/x
  3. Step 3: Cross multiply
    48,921x = 57,777 × 57,777
  4. Step 4: Simplify right side
    48,921x = 3,338,181,729
  5. Step 5: Solve for x
    x = 3,338,181,729/48,921
  6. Step 6: Final answer
    x = 68,236.17

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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.