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Finding the Third Proportional to 26,916 and 58,140

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Solution

The third proportional to 26,916 and 58,140 is: 125,585.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,916 : 58,140 = 58,140 : x
  2. Step 2: Convert to fraction form
    26,916/58,140 = 58,140/x
  3. Step 3: Cross multiply
    26,916x = 58,140 × 58,140
  4. Step 4: Simplify right side
    26,916x = 3,380,259,600
  5. Step 5: Solve for x
    x = 3,380,259,600/26,916
  6. Step 6: Final answer
    x = 125,585.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.