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Finding the Third Proportional to 32,298.75 and 69,267.38

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Solution

The third proportional to 32,298.75 and 69,267.38 is: 148,549.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,298.75 : 69,267.38 = 69,267.38 : x
  2. Step 2: Convert to fraction form
    32,298.75/69,267.38 = 69,267.38/x
  3. Step 3: Cross multiply
    32,298.75x = 69,267.38 × 69,267.38
  4. Step 4: Simplify right side
    32,298.75x = 4,797,969,239.39
  5. Step 5: Solve for x
    x = 4,797,969,239.39/32,298.75
  6. Step 6: Final answer
    x = 148,549.69

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.