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Finding the Third Proportional to 32,802 and 69,900

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Solution

The third proportional to 32,802 and 69,900 is: 148,954.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,802 : 69,900 = 69,900 : x
  2. Step 2: Convert to fraction form
    32,802/69,900 = 69,900/x
  3. Step 3: Cross multiply
    32,802x = 69,900 × 69,900
  4. Step 4: Simplify right side
    32,802x = 4,886,010,000
  5. Step 5: Solve for x
    x = 4,886,010,000/32,802
  6. Step 6: Final answer
    x = 148,954.64

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.