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Finding the Third Proportional to 26,216 and 56,864

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Solution

The third proportional to 26,216 and 56,864 is: 123,341.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,216 : 56,864 = 56,864 : x
  2. Step 2: Convert to fraction form
    26,216/56,864 = 56,864/x
  3. Step 3: Cross multiply
    26,216x = 56,864 × 56,864
  4. Step 4: Simplify right side
    26,216x = 3,233,514,496
  5. Step 5: Solve for x
    x = 3,233,514,496/26,216
  6. Step 6: Final answer
    x = 123,341.26

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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.