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Finding the Third Proportional to 32,382 and 69,372

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Solution

The third proportional to 32,382 and 69,372 is: 148,615.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,382 : 69,372 = 69,372 : x
  2. Step 2: Convert to fraction form
    32,382/69,372 = 69,372/x
  3. Step 3: Cross multiply
    32,382x = 69,372 × 69,372
  4. Step 4: Simplify right side
    32,382x = 4,812,474,384
  5. Step 5: Solve for x
    x = 4,812,474,384/32,382
  6. Step 6: Final answer
    x = 148,615.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.