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Finding the Third Proportional to 26,886 and 58,436

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Solution

The third proportional to 26,886 and 58,436 is: 127,009.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,886 : 58,436 = 58,436 : x
  2. Step 2: Convert to fraction form
    26,886/58,436 = 58,436/x
  3. Step 3: Cross multiply
    26,886x = 58,436 × 58,436
  4. Step 4: Simplify right side
    26,886x = 3,414,766,096
  5. Step 5: Solve for x
    x = 3,414,766,096/26,886
  6. Step 6: Final answer
    x = 127,009.08

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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.