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Finding the Third Proportional to 31,348 and 42,986

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Solution

The third proportional to 31,348 and 42,986 is: 58,944.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,348 : 42,986 = 42,986 : x
  2. Step 2: Convert to fraction form
    31,348/42,986 = 42,986/x
  3. Step 3: Cross multiply
    31,348x = 42,986 × 42,986
  4. Step 4: Simplify right side
    31,348x = 1,847,796,196
  5. Step 5: Solve for x
    x = 1,847,796,196/31,348
  6. Step 6: Final answer
    x = 58,944.63

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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.