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Finding the Third Proportional to 34,519 and 51,292

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Solution

The third proportional to 34,519 and 51,292 is: 76,215.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,519 : 51,292 = 51,292 : x
  2. Step 2: Convert to fraction form
    34,519/51,292 = 51,292/x
  3. Step 3: Cross multiply
    34,519x = 51,292 × 51,292
  4. Step 4: Simplify right side
    34,519x = 2,630,869,264
  5. Step 5: Solve for x
    x = 2,630,869,264/34,519
  6. Step 6: Final answer
    x = 76,215.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.