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Finding the Third Proportional to 16,301 and 35,311

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Solution

The third proportional to 16,301 and 35,311 is: 76,490.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,301 : 35,311 = 35,311 : x
  2. Step 2: Convert to fraction form
    16,301/35,311 = 35,311/x
  3. Step 3: Cross multiply
    16,301x = 35,311 × 35,311
  4. Step 4: Simplify right side
    16,301x = 1,246,866,721
  5. Step 5: Solve for x
    x = 1,246,866,721/16,301
  6. Step 6: Final answer
    x = 76,490.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.