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Finding the Third Proportional to 26,958 and 56,708

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Solution

The third proportional to 26,958 and 56,708 is: 119,289.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,958 : 56,708 = 56,708 : x
  2. Step 2: Convert to fraction form
    26,958/56,708 = 56,708/x
  3. Step 3: Cross multiply
    26,958x = 56,708 × 56,708
  4. Step 4: Simplify right side
    26,958x = 3,215,797,264
  5. Step 5: Solve for x
    x = 3,215,797,264/26,958
  6. Step 6: Final answer
    x = 119,289.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.