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Finding the Third Proportional to 32,312.25 and 68,532.75

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Solution

The third proportional to 32,312.25 and 68,532.75 is: 145,354.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,312.25 : 68,532.75 = 68,532.75 : x
  2. Step 2: Convert to fraction form
    32,312.25/68,532.75 = 68,532.75/x
  3. Step 3: Cross multiply
    32,312.25x = 68,532.75 × 68,532.75
  4. Step 4: Simplify right side
    32,312.25x = 4,696,737,822.56
  5. Step 5: Solve for x
    x = 4,696,737,822.56/32,312.25
  6. Step 6: Final answer
    x = 145,354.71

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.