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Finding the Third Proportional to 13,759 and 22,764

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Solution

The third proportional to 13,759 and 22,764 is: 37,662.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,759 : 22,764 = 22,764 : x
  2. Step 2: Convert to fraction form
    13,759/22,764 = 22,764/x
  3. Step 3: Cross multiply
    13,759x = 22,764 × 22,764
  4. Step 4: Simplify right side
    13,759x = 518,199,696
  5. Step 5: Solve for x
    x = 518,199,696/13,759
  6. Step 6: Final answer
    x = 37,662.60

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.