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Finding the Third Proportional to 32,295 and 69,949.50

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Solution

The third proportional to 32,295 and 69,949.50 is: 151,507.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,295 : 69,949.50 = 69,949.50 : x
  2. Step 2: Convert to fraction form
    32,295/69,949.50 = 69,949.50/x
  3. Step 3: Cross multiply
    32,295x = 69,949.50 × 69,949.50
  4. Step 4: Simplify right side
    32,295x = 4,892,932,550.25
  5. Step 5: Solve for x
    x = 4,892,932,550.25/32,295
  6. Step 6: Final answer
    x = 151,507.43

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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.