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Finding the Third Proportional to 32,280 and 69,919.50

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Solution

The third proportional to 32,280 and 69,919.50 is: 151,447.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,280 : 69,919.50 = 69,919.50 : x
  2. Step 2: Convert to fraction form
    32,280/69,919.50 = 69,919.50/x
  3. Step 3: Cross multiply
    32,280x = 69,919.50 × 69,919.50
  4. Step 4: Simplify right side
    32,280x = 4,888,736,480.25
  5. Step 5: Solve for x
    x = 4,888,736,480.25/32,280
  6. Step 6: Final answer
    x = 151,447.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.