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Finding the Third Proportional to 26,654 and 57,341

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Solution

The third proportional to 26,654 and 57,341 is: 123,358.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,654 : 57,341 = 57,341 : x
  2. Step 2: Convert to fraction form
    26,654/57,341 = 57,341/x
  3. Step 3: Cross multiply
    26,654x = 57,341 × 57,341
  4. Step 4: Simplify right side
    26,654x = 3,287,990,281
  5. Step 5: Solve for x
    x = 3,287,990,281/26,654
  6. Step 6: Final answer
    x = 123,358.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.