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Finding the Third Proportional to 31,523 and 48,878

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Solution

The third proportional to 31,523 and 48,878 is: 75,787.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,523 : 48,878 = 48,878 : x
  2. Step 2: Convert to fraction form
    31,523/48,878 = 48,878/x
  3. Step 3: Cross multiply
    31,523x = 48,878 × 48,878
  4. Step 4: Simplify right side
    31,523x = 2,389,058,884
  5. Step 5: Solve for x
    x = 2,389,058,884/31,523
  6. Step 6: Final answer
    x = 75,787.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.