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Finding the Third Proportional to 26,963 and 58,139

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Solution

The third proportional to 26,963 and 58,139 is: 125,362.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,963 : 58,139 = 58,139 : x
  2. Step 2: Convert to fraction form
    26,963/58,139 = 58,139/x
  3. Step 3: Cross multiply
    26,963x = 58,139 × 58,139
  4. Step 4: Simplify right side
    26,963x = 3,380,143,321
  5. Step 5: Solve for x
    x = 3,380,143,321/26,963
  6. Step 6: Final answer
    x = 125,362.29

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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.