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Finding the Third Proportional to 26,510 and 57,695

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Solution

The third proportional to 26,510 and 57,695 is: 125,564.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,510 : 57,695 = 57,695 : x
  2. Step 2: Convert to fraction form
    26,510/57,695 = 57,695/x
  3. Step 3: Cross multiply
    26,510x = 57,695 × 57,695
  4. Step 4: Simplify right side
    26,510x = 3,328,713,025
  5. Step 5: Solve for x
    x = 3,328,713,025/26,510
  6. Step 6: Final answer
    x = 125,564.43

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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.