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Finding the Third Proportional to 26,414 and 58,660

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Solution

The third proportional to 26,414 and 58,660 is: 130,271.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,414 : 58,660 = 58,660 : x
  2. Step 2: Convert to fraction form
    26,414/58,660 = 58,660/x
  3. Step 3: Cross multiply
    26,414x = 58,660 × 58,660
  4. Step 4: Simplify right side
    26,414x = 3,440,995,600
  5. Step 5: Solve for x
    x = 3,440,995,600/26,414
  6. Step 6: Final answer
    x = 130,271.66

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.