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Finding the Third Proportional to 32,908.50 and 71,070.75

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Solution

The third proportional to 32,908.50 and 71,070.75 is: 153,487.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,908.50 : 71,070.75 = 71,070.75 : x
  2. Step 2: Convert to fraction form
    32,908.50/71,070.75 = 71,070.75/x
  3. Step 3: Cross multiply
    32,908.50x = 71,070.75 × 71,070.75
  4. Step 4: Simplify right side
    32,908.50x = 5,051,051,505.56
  5. Step 5: Solve for x
    x = 5,051,051,505.56/32,908.50
  6. Step 6: Final answer
    x = 153,487.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.