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Finding the Third Proportional to 34,581.94 and 71,047.13

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Solution

The third proportional to 34,581.94 and 71,047.13 is: 145,963.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,581.94 : 71,047.13 = 71,047.13 : x
  2. Step 2: Convert to fraction form
    34,581.94/71,047.13 = 71,047.13/x
  3. Step 3: Cross multiply
    34,581.94x = 71,047.13 × 71,047.13
  4. Step 4: Simplify right side
    34,581.94x = 5,047,693,970.77
  5. Step 5: Solve for x
    x = 5,047,693,970.77/34,581.94
  6. Step 6: Final answer
    x = 145,963.31

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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.