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Finding the Third Proportional to 17,759 and 36,319

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Solution

The third proportional to 17,759 and 36,319 is: 74,276.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,759 : 36,319 = 36,319 : x
  2. Step 2: Convert to fraction form
    17,759/36,319 = 36,319/x
  3. Step 3: Cross multiply
    17,759x = 36,319 × 36,319
  4. Step 4: Simplify right side
    17,759x = 1,319,069,761
  5. Step 5: Solve for x
    x = 1,319,069,761/17,759
  6. Step 6: Final answer
    x = 74,276.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.