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Finding the Third Proportional to 34,809.75 and 71,259.75

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Solution

The third proportional to 34,809.75 and 71,259.75 is: 145,877.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,809.75 : 71,259.75 = 71,259.75 : x
  2. Step 2: Convert to fraction form
    34,809.75/71,259.75 = 71,259.75/x
  3. Step 3: Cross multiply
    34,809.75x = 71,259.75 × 71,259.75
  4. Step 4: Simplify right side
    34,809.75x = 5,077,951,970.06
  5. Step 5: Solve for x
    x = 5,077,951,970.06/34,809.75
  6. Step 6: Final answer
    x = 145,877.29

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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.