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Finding the Third Proportional to 31,572.28 and 67,522.22

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Solution

The third proportional to 31,572.28 and 67,522.22 is: 144,406.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,572.28 : 67,522.22 = 67,522.22 : x
  2. Step 2: Convert to fraction form
    31,572.28/67,522.22 = 67,522.22/x
  3. Step 3: Cross multiply
    31,572.28x = 67,522.22 × 67,522.22
  4. Step 4: Simplify right side
    31,572.28x = 4,559,250,024.92
  5. Step 5: Solve for x
    x = 4,559,250,024.92/31,572.28
  6. Step 6: Final answer
    x = 144,406.73

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.