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Finding the Third Proportional to 35,731 and 55,382

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Solution

The third proportional to 35,731 and 55,382 is: 85,840.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,731 : 55,382 = 55,382 : x
  2. Step 2: Convert to fraction form
    35,731/55,382 = 55,382/x
  3. Step 3: Cross multiply
    35,731x = 55,382 × 55,382
  4. Step 4: Simplify right side
    35,731x = 3,067,165,924
  5. Step 5: Solve for x
    x = 3,067,165,924/35,731
  6. Step 6: Final answer
    x = 85,840.47

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