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Finding the Third Proportional to 26,806 and 56,636

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Solution

The third proportional to 26,806 and 56,636 is: 119,661.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,806 : 56,636 = 56,636 : x
  2. Step 2: Convert to fraction form
    26,806/56,636 = 56,636/x
  3. Step 3: Cross multiply
    26,806x = 56,636 × 56,636
  4. Step 4: Simplify right side
    26,806x = 3,207,636,496
  5. Step 5: Solve for x
    x = 3,207,636,496/26,806
  6. Step 6: Final answer
    x = 119,661.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.