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Finding the Third Proportional to 32,283 and 69,753

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Solution

The third proportional to 32,283 and 69,753 is: 150,713.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,283 : 69,753 = 69,753 : x
  2. Step 2: Convert to fraction form
    32,283/69,753 = 69,753/x
  3. Step 3: Cross multiply
    32,283x = 69,753 × 69,753
  4. Step 4: Simplify right side
    32,283x = 4,865,481,009
  5. Step 5: Solve for x
    x = 4,865,481,009/32,283
  6. Step 6: Final answer
    x = 150,713.41

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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.