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Finding the Third Proportional to 21,950 and 35,350

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Solution

The third proportional to 21,950 and 35,350 is: 56,930.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,950 : 35,350 = 35,350 : x
  2. Step 2: Convert to fraction form
    21,950/35,350 = 35,350/x
  3. Step 3: Cross multiply
    21,950x = 35,350 × 35,350
  4. Step 4: Simplify right side
    21,950x = 1,249,622,500
  5. Step 5: Solve for x
    x = 1,249,622,500/21,950
  6. Step 6: Final answer
    x = 56,930.41

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.