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Finding the Third Proportional to 26,789.50 and 58,341

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Solution

The third proportional to 26,789.50 and 58,341 is: 127,052.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,789.50 : 58,341 = 58,341 : x
  2. Step 2: Convert to fraction form
    26,789.50/58,341 = 58,341/x
  3. Step 3: Cross multiply
    26,789.50x = 58,341 × 58,341
  4. Step 4: Simplify right side
    26,789.50x = 3,403,672,281
  5. Step 5: Solve for x
    x = 3,403,672,281/26,789.50
  6. Step 6: Final answer
    x = 127,052.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.