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Finding the Third Proportional to 22,401.56 and 31,407.75

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Solution

The third proportional to 22,401.56 and 31,407.75 is: 44,034.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,401.56 : 31,407.75 = 31,407.75 : x
  2. Step 2: Convert to fraction form
    22,401.56/31,407.75 = 31,407.75/x
  3. Step 3: Cross multiply
    22,401.56x = 31,407.75 × 31,407.75
  4. Step 4: Simplify right side
    22,401.56x = 986,446,760.06
  5. Step 5: Solve for x
    x = 986,446,760.06/22,401.56
  6. Step 6: Final answer
    x = 44,034.73

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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.