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Finding the Third Proportional to 32,998 and 69,917

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Solution

The third proportional to 32,998 and 69,917 is: 148,141.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,998 : 69,917 = 69,917 : x
  2. Step 2: Convert to fraction form
    32,998/69,917 = 69,917/x
  3. Step 3: Cross multiply
    32,998x = 69,917 × 69,917
  4. Step 4: Simplify right side
    32,998x = 4,888,386,889
  5. Step 5: Solve for x
    x = 4,888,386,889/32,998
  6. Step 6: Final answer
    x = 148,141.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.