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Finding the Third Proportional to 27,407 and 56,974

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Solution

The third proportional to 27,407 and 56,974 is: 118,438.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,407 : 56,974 = 56,974 : x
  2. Step 2: Convert to fraction form
    27,407/56,974 = 56,974/x
  3. Step 3: Cross multiply
    27,407x = 56,974 × 56,974
  4. Step 4: Simplify right side
    27,407x = 3,246,036,676
  5. Step 5: Solve for x
    x = 3,246,036,676/27,407
  6. Step 6: Final answer
    x = 118,438.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.