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Finding the Third Proportional to 34,740.56 and 70,711.31

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Solution

The third proportional to 34,740.56 and 70,711.31 is: 143,926.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,740.56 : 70,711.31 = 70,711.31 : x
  2. Step 2: Convert to fraction form
    34,740.56/70,711.31 = 70,711.31/x
  3. Step 3: Cross multiply
    34,740.56x = 70,711.31 × 70,711.31
  4. Step 4: Simplify right side
    34,740.56x = 5,000,089,715.47
  5. Step 5: Solve for x
    x = 5,000,089,715.47/34,740.56
  6. Step 6: Final answer
    x = 143,926.56

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.