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Finding the Third Proportional to 32,764.50 and 69,447.38

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Solution

The third proportional to 32,764.50 and 69,447.38 is: 147,200.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,764.50 : 69,447.38 = 69,447.38 : x
  2. Step 2: Convert to fraction form
    32,764.50/69,447.38 = 69,447.38/x
  3. Step 3: Cross multiply
    32,764.50x = 69,447.38 × 69,447.38
  4. Step 4: Simplify right side
    32,764.50x = 4,822,937,894.39
  5. Step 5: Solve for x
    x = 4,822,937,894.39/32,764.50
  6. Step 6: Final answer
    x = 147,200.11

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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.