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Finding the Third Proportional to 32,041.50 and 68,822

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Solution

The third proportional to 32,041.50 and 68,822 is: 147,822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,041.50 : 68,822 = 68,822 : x
  2. Step 2: Convert to fraction form
    32,041.50/68,822 = 68,822/x
  3. Step 3: Cross multiply
    32,041.50x = 68,822 × 68,822
  4. Step 4: Simplify right side
    32,041.50x = 4,736,467,684
  5. Step 5: Solve for x
    x = 4,736,467,684/32,041.50
  6. Step 6: Final answer
    x = 147,822.91

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.