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Finding the Third Proportional to 16,630 and 35,898

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Solution

The third proportional to 16,630 and 35,898 is: 77,490.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,630 : 35,898 = 35,898 : x
  2. Step 2: Convert to fraction form
    16,630/35,898 = 35,898/x
  3. Step 3: Cross multiply
    16,630x = 35,898 × 35,898
  4. Step 4: Simplify right side
    16,630x = 1,288,666,404
  5. Step 5: Solve for x
    x = 1,288,666,404/16,630
  6. Step 6: Final answer
    x = 77,490.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.