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Finding the Third Proportional to 22,205.25 and 52,386.75

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Solution

The third proportional to 22,205.25 and 52,386.75 is: 123,591.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,205.25 : 52,386.75 = 52,386.75 : x
  2. Step 2: Convert to fraction form
    22,205.25/52,386.75 = 52,386.75/x
  3. Step 3: Cross multiply
    22,205.25x = 52,386.75 × 52,386.75
  4. Step 4: Simplify right side
    22,205.25x = 2,744,371,575.56
  5. Step 5: Solve for x
    x = 2,744,371,575.56/22,205.25
  6. Step 6: Final answer
    x = 123,591.11

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.