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Finding the Third Proportional to 15,965 and 34,950

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Solution

The third proportional to 15,965 and 34,950 is: 76,511.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,965 : 34,950 = 34,950 : x
  2. Step 2: Convert to fraction form
    15,965/34,950 = 34,950/x
  3. Step 3: Cross multiply
    15,965x = 34,950 × 34,950
  4. Step 4: Simplify right side
    15,965x = 1,221,502,500
  5. Step 5: Solve for x
    x = 1,221,502,500/15,965
  6. Step 6: Final answer
    x = 76,511.27

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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.