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Finding the Third Proportional to 32,286 and 69,668

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Solution

The third proportional to 32,286 and 69,668 is: 150,332.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,286 : 69,668 = 69,668 : x
  2. Step 2: Convert to fraction form
    32,286/69,668 = 69,668/x
  3. Step 3: Cross multiply
    32,286x = 69,668 × 69,668
  4. Step 4: Simplify right side
    32,286x = 4,853,630,224
  5. Step 5: Solve for x
    x = 4,853,630,224/32,286
  6. Step 6: Final answer
    x = 150,332.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.