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Finding the Third Proportional to 32,292 and 69,680

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Solution

The third proportional to 32,292 and 69,680 is: 150,356.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,292 : 69,680 = 69,680 : x
  2. Step 2: Convert to fraction form
    32,292/69,680 = 69,680/x
  3. Step 3: Cross multiply
    32,292x = 69,680 × 69,680
  4. Step 4: Simplify right side
    32,292x = 4,855,302,400
  5. Step 5: Solve for x
    x = 4,855,302,400/32,292
  6. Step 6: Final answer
    x = 150,356.20

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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.