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Finding the Third Proportional to 26,516 and 57,719

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Solution

The third proportional to 26,516 and 57,719 is: 125,640.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,516 : 57,719 = 57,719 : x
  2. Step 2: Convert to fraction form
    26,516/57,719 = 57,719/x
  3. Step 3: Cross multiply
    26,516x = 57,719 × 57,719
  4. Step 4: Simplify right side
    26,516x = 3,331,482,961
  5. Step 5: Solve for x
    x = 3,331,482,961/26,516
  6. Step 6: Final answer
    x = 125,640.48

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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.