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Finding the Third Proportional to 31,320 and 42,948

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Solution

The third proportional to 31,320 and 42,948 is: 58,893.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,320 : 42,948 = 42,948 : x
  2. Step 2: Convert to fraction form
    31,320/42,948 = 42,948/x
  3. Step 3: Cross multiply
    31,320x = 42,948 × 42,948
  4. Step 4: Simplify right side
    31,320x = 1,844,530,704
  5. Step 5: Solve for x
    x = 1,844,530,704/31,320
  6. Step 6: Final answer
    x = 58,893.06

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.