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Finding the Third Proportional to 26,208 and 56,565

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Solution

The third proportional to 26,208 and 56,565 is: 122,084.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,208 : 56,565 = 56,565 : x
  2. Step 2: Convert to fraction form
    26,208/56,565 = 56,565/x
  3. Step 3: Cross multiply
    26,208x = 56,565 × 56,565
  4. Step 4: Simplify right side
    26,208x = 3,199,599,225
  5. Step 5: Solve for x
    x = 3,199,599,225/26,208
  6. Step 6: Final answer
    x = 122,084.83

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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.