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Finding the Third Proportional to 34,366 and 51,658

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Solution

The third proportional to 34,366 and 51,658 is: 77,650.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,366 : 51,658 = 51,658 : x
  2. Step 2: Convert to fraction form
    34,366/51,658 = 51,658/x
  3. Step 3: Cross multiply
    34,366x = 51,658 × 51,658
  4. Step 4: Simplify right side
    34,366x = 2,668,548,964
  5. Step 5: Solve for x
    x = 2,668,548,964/34,366
  6. Step 6: Final answer
    x = 77,650.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.