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Finding the Third Proportional to 32,454.50 and 69,756

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Solution

The third proportional to 32,454.50 and 69,756 is: 149,929.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,454.50 : 69,756 = 69,756 : x
  2. Step 2: Convert to fraction form
    32,454.50/69,756 = 69,756/x
  3. Step 3: Cross multiply
    32,454.50x = 69,756 × 69,756
  4. Step 4: Simplify right side
    32,454.50x = 4,865,899,536
  5. Step 5: Solve for x
    x = 4,865,899,536/32,454.50
  6. Step 6: Final answer
    x = 149,929.89

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.