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Finding the Third Proportional to 31,500.56 and 70,040.53

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Solution

The third proportional to 31,500.56 and 70,040.53 is: 155,732.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,500.56 : 70,040.53 = 70,040.53 : x
  2. Step 2: Convert to fraction form
    31,500.56/70,040.53 = 70,040.53/x
  3. Step 3: Cross multiply
    31,500.56x = 70,040.53 × 70,040.53
  4. Step 4: Simplify right side
    31,500.56x = 4,905,676,017.78
  5. Step 5: Solve for x
    x = 4,905,676,017.78/31,500.56
  6. Step 6: Final answer
    x = 155,732.97

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.