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Finding the Third Proportional to 34,657 and 67,562

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Solution

The third proportional to 34,657 and 67,562 is: 131,708.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,657 : 67,562 = 67,562 : x
  2. Step 2: Convert to fraction form
    34,657/67,562 = 67,562/x
  3. Step 3: Cross multiply
    34,657x = 67,562 × 67,562
  4. Step 4: Simplify right side
    34,657x = 4,564,623,844
  5. Step 5: Solve for x
    x = 4,564,623,844/34,657
  6. Step 6: Final answer
    x = 131,708.57

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.