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Finding the Third Proportional to 32,184 and 69,868

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Solution

The third proportional to 32,184 and 69,868 is: 151,675.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,184 : 69,868 = 69,868 : x
  2. Step 2: Convert to fraction form
    32,184/69,868 = 69,868/x
  3. Step 3: Cross multiply
    32,184x = 69,868 × 69,868
  4. Step 4: Simplify right side
    32,184x = 4,881,537,424
  5. Step 5: Solve for x
    x = 4,881,537,424/32,184
  6. Step 6: Final answer
    x = 151,675.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.