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Finding the Third Proportional to 26,138 and 57,284

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Solution

The third proportional to 26,138 and 57,284 is: 125,543.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,138 : 57,284 = 57,284 : x
  2. Step 2: Convert to fraction form
    26,138/57,284 = 57,284/x
  3. Step 3: Cross multiply
    26,138x = 57,284 × 57,284
  4. Step 4: Simplify right side
    26,138x = 3,281,456,656
  5. Step 5: Solve for x
    x = 3,281,456,656/26,138
  6. Step 6: Final answer
    x = 125,543.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.