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Finding the Third Proportional to 26,746 and 57,956

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Solution

The third proportional to 26,746 and 57,956 is: 125,585.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,746 : 57,956 = 57,956 : x
  2. Step 2: Convert to fraction form
    26,746/57,956 = 57,956/x
  3. Step 3: Cross multiply
    26,746x = 57,956 × 57,956
  4. Step 4: Simplify right side
    26,746x = 3,358,897,936
  5. Step 5: Solve for x
    x = 3,358,897,936/26,746
  6. Step 6: Final answer
    x = 125,585.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.