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Finding the Third Proportional to 22,135.50 and 47,787.75

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Solution

The third proportional to 22,135.50 and 47,787.75 is: 103,167.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,135.50 : 47,787.75 = 47,787.75 : x
  2. Step 2: Convert to fraction form
    22,135.50/47,787.75 = 47,787.75/x
  3. Step 3: Cross multiply
    22,135.50x = 47,787.75 × 47,787.75
  4. Step 4: Simplify right side
    22,135.50x = 2,283,669,050.06
  5. Step 5: Solve for x
    x = 2,283,669,050.06/22,135.50
  6. Step 6: Final answer
    x = 103,167.72

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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.