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Finding the Third Proportional to 20,270 and 32,382

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Solution

The third proportional to 20,270 and 32,382 is: 51,731.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,270 : 32,382 = 32,382 : x
  2. Step 2: Convert to fraction form
    20,270/32,382 = 32,382/x
  3. Step 3: Cross multiply
    20,270x = 32,382 × 32,382
  4. Step 4: Simplify right side
    20,270x = 1,048,593,924
  5. Step 5: Solve for x
    x = 1,048,593,924/20,270
  6. Step 6: Final answer
    x = 51,731.32

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.