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Finding the Third Proportional to 34,214 and 52,521

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Solution

The third proportional to 34,214 and 52,521 is: 80,623.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,214 : 52,521 = 52,521 : x
  2. Step 2: Convert to fraction form
    34,214/52,521 = 52,521/x
  3. Step 3: Cross multiply
    34,214x = 52,521 × 52,521
  4. Step 4: Simplify right side
    34,214x = 2,758,455,441
  5. Step 5: Solve for x
    x = 2,758,455,441/34,214
  6. Step 6: Final answer
    x = 80,623.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.