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Finding the Third Proportional to 34,506 and 51,107

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Solution

The third proportional to 34,506 and 51,107 is: 75,694.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,506 : 51,107 = 51,107 : x
  2. Step 2: Convert to fraction form
    34,506/51,107 = 51,107/x
  3. Step 3: Cross multiply
    34,506x = 51,107 × 51,107
  4. Step 4: Simplify right side
    34,506x = 2,611,925,449
  5. Step 5: Solve for x
    x = 2,611,925,449/34,506
  6. Step 6: Final answer
    x = 75,694.82

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.