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Finding the Third Proportional to 36,008 and 75,656

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Solution

The third proportional to 36,008 and 75,656 is: 158,959.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,008 : 75,656 = 75,656 : x
  2. Step 2: Convert to fraction form
    36,008/75,656 = 75,656/x
  3. Step 3: Cross multiply
    36,008x = 75,656 × 75,656
  4. Step 4: Simplify right side
    36,008x = 5,723,830,336
  5. Step 5: Solve for x
    x = 5,723,830,336/36,008
  6. Step 6: Final answer
    x = 158,959.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.