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Finding the Third Proportional to 16,403 and 35,920

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Solution

The third proportional to 16,403 and 35,920 is: 78,659.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,403 : 35,920 = 35,920 : x
  2. Step 2: Convert to fraction form
    16,403/35,920 = 35,920/x
  3. Step 3: Cross multiply
    16,403x = 35,920 × 35,920
  4. Step 4: Simplify right side
    16,403x = 1,290,246,400
  5. Step 5: Solve for x
    x = 1,290,246,400/16,403
  6. Step 6: Final answer
    x = 78,659.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.