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Finding the Third Proportional to 15,774.75 and 34,337.25

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Solution

The third proportional to 15,774.75 and 34,337.25 is: 74,742.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,774.75 : 34,337.25 = 34,337.25 : x
  2. Step 2: Convert to fraction form
    15,774.75/34,337.25 = 34,337.25/x
  3. Step 3: Cross multiply
    15,774.75x = 34,337.25 × 34,337.25
  4. Step 4: Simplify right side
    15,774.75x = 1,179,046,737.56
  5. Step 5: Solve for x
    x = 1,179,046,737.56/15,774.75
  6. Step 6: Final answer
    x = 74,742.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.