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Finding the Third Proportional to 31,986 and 44,853

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Solution

The third proportional to 31,986 and 44,853 is: 62,896.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,986 : 44,853 = 44,853 : x
  2. Step 2: Convert to fraction form
    31,986/44,853 = 44,853/x
  3. Step 3: Cross multiply
    31,986x = 44,853 × 44,853
  4. Step 4: Simplify right side
    31,986x = 2,011,791,609
  5. Step 5: Solve for x
    x = 2,011,791,609/31,986
  6. Step 6: Final answer
    x = 62,896.00

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.