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Finding the Third Proportional to 31,444 and 42,726

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Solution

The third proportional to 31,444 and 42,726 is: 58,055.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,444 : 42,726 = 42,726 : x
  2. Step 2: Convert to fraction form
    31,444/42,726 = 42,726/x
  3. Step 3: Cross multiply
    31,444x = 42,726 × 42,726
  4. Step 4: Simplify right side
    31,444x = 1,825,511,076
  5. Step 5: Solve for x
    x = 1,825,511,076/31,444
  6. Step 6: Final answer
    x = 58,055.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.