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Finding the Third Proportional to 31,444.50 and 42,726.75

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Solution

The third proportional to 31,444.50 and 42,726.75 is: 58,057.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,444.50 : 42,726.75 = 42,726.75 : x
  2. Step 2: Convert to fraction form
    31,444.50/42,726.75 = 42,726.75/x
  3. Step 3: Cross multiply
    31,444.50x = 42,726.75 × 42,726.75
  4. Step 4: Simplify right side
    31,444.50x = 1,825,575,165.56
  5. Step 5: Solve for x
    x = 1,825,575,165.56/31,444.50
  6. Step 6: Final answer
    x = 58,057.06

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