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Finding the Third Proportional to 35,920 and 83,656

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Solution

The third proportional to 35,920 and 83,656 is: 194,830.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,920 : 83,656 = 83,656 : x
  2. Step 2: Convert to fraction form
    35,920/83,656 = 83,656/x
  3. Step 3: Cross multiply
    35,920x = 83,656 × 83,656
  4. Step 4: Simplify right side
    35,920x = 6,998,326,336
  5. Step 5: Solve for x
    x = 6,998,326,336/35,920
  6. Step 6: Final answer
    x = 194,830.91

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.