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Finding the Third Proportional to 31,449 and 44,061.50

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Solution

The third proportional to 31,449 and 44,061.50 is: 61,732.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,449 : 44,061.50 = 44,061.50 : x
  2. Step 2: Convert to fraction form
    31,449/44,061.50 = 44,061.50/x
  3. Step 3: Cross multiply
    31,449x = 44,061.50 × 44,061.50
  4. Step 4: Simplify right side
    31,449x = 1,941,415,782.25
  5. Step 5: Solve for x
    x = 1,941,415,782.25/31,449
  6. Step 6: Final answer
    x = 61,732.19

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