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Finding the Third Proportional to 35,215 and 54,982

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Solution

The third proportional to 35,215 and 54,982 is: 85,844.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,215 : 54,982 = 54,982 : x
  2. Step 2: Convert to fraction form
    35,215/54,982 = 54,982/x
  3. Step 3: Cross multiply
    35,215x = 54,982 × 54,982
  4. Step 4: Simplify right side
    35,215x = 3,023,020,324
  5. Step 5: Solve for x
    x = 3,023,020,324/35,215
  6. Step 6: Final answer
    x = 85,844.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.