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Finding the Third Proportional to 32,022.84 and 47,772.28

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Solution

The third proportional to 32,022.84 and 47,772.28 is: 71,267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,022.84 : 47,772.28 = 47,772.28 : x
  2. Step 2: Convert to fraction form
    32,022.84/47,772.28 = 47,772.28/x
  3. Step 3: Cross multiply
    32,022.84x = 47,772.28 × 47,772.28
  4. Step 4: Simplify right side
    32,022.84x = 2,282,190,855.83
  5. Step 5: Solve for x
    x = 2,282,190,855.83/32,022.84
  6. Step 6: Final answer
    x = 71,267.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.