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Finding the Third Proportional to 34,281.75 and 51,787.88

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Solution

The third proportional to 34,281.75 and 51,787.88 is: 78,233.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,281.75 : 51,787.88 = 51,787.88 : x
  2. Step 2: Convert to fraction form
    34,281.75/51,787.88 = 51,787.88/x
  3. Step 3: Cross multiply
    34,281.75x = 51,787.88 × 51,787.88
  4. Step 4: Simplify right side
    34,281.75x = 2,681,983,997.02
  5. Step 5: Solve for x
    x = 2,681,983,997.02/34,281.75
  6. Step 6: Final answer
    x = 78,233.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.