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Finding the Third Proportional to 26,789 and 58,340

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Solution

The third proportional to 26,789 and 58,340 is: 127,050.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,789 : 58,340 = 58,340 : x
  2. Step 2: Convert to fraction form
    26,789/58,340 = 58,340/x
  3. Step 3: Cross multiply
    26,789x = 58,340 × 58,340
  4. Step 4: Simplify right side
    26,789x = 3,403,555,600
  5. Step 5: Solve for x
    x = 3,403,555,600/26,789
  6. Step 6: Final answer
    x = 127,050.49

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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.