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Finding the Third Proportional to 32,169 and 69,684

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Solution

The third proportional to 32,169 and 69,684 is: 150,948.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,169 : 69,684 = 69,684 : x
  2. Step 2: Convert to fraction form
    32,169/69,684 = 69,684/x
  3. Step 3: Cross multiply
    32,169x = 69,684 × 69,684
  4. Step 4: Simplify right side
    32,169x = 4,855,859,856
  5. Step 5: Solve for x
    x = 4,855,859,856/32,169
  6. Step 6: Final answer
    x = 150,948.42

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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.