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Finding the Third Proportional to 26,864 and 58,714

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Solution

The third proportional to 26,864 and 58,714 is: 128,325.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,864 : 58,714 = 58,714 : x
  2. Step 2: Convert to fraction form
    26,864/58,714 = 58,714/x
  3. Step 3: Cross multiply
    26,864x = 58,714 × 58,714
  4. Step 4: Simplify right side
    26,864x = 3,447,333,796
  5. Step 5: Solve for x
    x = 3,447,333,796/26,864
  6. Step 6: Final answer
    x = 128,325.41

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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.