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Finding the Third Proportional to 34,864.56 and 71,566.80

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Solution

The third proportional to 34,864.56 and 71,566.80 is: 146,905.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,864.56 : 71,566.80 = 71,566.80 : x
  2. Step 2: Convert to fraction form
    34,864.56/71,566.80 = 71,566.80/x
  3. Step 3: Cross multiply
    34,864.56x = 71,566.80 × 71,566.80
  4. Step 4: Simplify right side
    34,864.56x = 5,121,807,533.18
  5. Step 5: Solve for x
    x = 5,121,807,533.18/34,864.56
  6. Step 6: Final answer
    x = 146,905.85

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.