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Finding the Third Proportional to 26,686 and 58,070

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Solution

The third proportional to 26,686 and 58,070 is: 126,363.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,686 : 58,070 = 58,070 : x
  2. Step 2: Convert to fraction form
    26,686/58,070 = 58,070/x
  3. Step 3: Cross multiply
    26,686x = 58,070 × 58,070
  4. Step 4: Simplify right side
    26,686x = 3,372,124,900
  5. Step 5: Solve for x
    x = 3,372,124,900/26,686
  6. Step 6: Final answer
    x = 126,363.07

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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.