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Finding the Third Proportional to 34,980 and 52,606

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Solution

The third proportional to 34,980 and 52,606 is: 79,113.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,980 : 52,606 = 52,606 : x
  2. Step 2: Convert to fraction form
    34,980/52,606 = 52,606/x
  3. Step 3: Cross multiply
    34,980x = 52,606 × 52,606
  4. Step 4: Simplify right side
    34,980x = 2,767,391,236
  5. Step 5: Solve for x
    x = 2,767,391,236/34,980
  6. Step 6: Final answer
    x = 79,113.53

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