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Finding the Third Proportional to 26,769 and 39,765

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Solution

The third proportional to 26,769 and 39,765 is: 59,070.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,769 : 39,765 = 39,765 : x
  2. Step 2: Convert to fraction form
    26,769/39,765 = 39,765/x
  3. Step 3: Cross multiply
    26,769x = 39,765 × 39,765
  4. Step 4: Simplify right side
    26,769x = 1,581,255,225
  5. Step 5: Solve for x
    x = 1,581,255,225/26,769
  6. Step 6: Final answer
    x = 59,070.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.