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Finding the Third Proportional to 22,200.75 and 32,977.13

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Solution

The third proportional to 22,200.75 and 32,977.13 is: 48,984.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,200.75 : 32,977.13 = 32,977.13 : x
  2. Step 2: Convert to fraction form
    22,200.75/32,977.13 = 32,977.13/x
  3. Step 3: Cross multiply
    22,200.75x = 32,977.13 × 32,977.13
  4. Step 4: Simplify right side
    22,200.75x = 1,087,490,773.27
  5. Step 5: Solve for x
    x = 1,087,490,773.27/22,200.75
  6. Step 6: Final answer
    x = 48,984.42

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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.