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Finding the Third Proportional to 27,654 and 42,890

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Solution

The third proportional to 27,654 and 42,890 is: 66,520.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,654 : 42,890 = 42,890 : x
  2. Step 2: Convert to fraction form
    27,654/42,890 = 42,890/x
  3. Step 3: Cross multiply
    27,654x = 42,890 × 42,890
  4. Step 4: Simplify right side
    27,654x = 1,839,552,100
  5. Step 5: Solve for x
    x = 1,839,552,100/27,654
  6. Step 6: Final answer
    x = 66,520.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.