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Finding the Third Proportional to 34,102.50 and 52,611.75

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Solution

The third proportional to 34,102.50 and 52,611.75 is: 81,166.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,102.50 : 52,611.75 = 52,611.75 : x
  2. Step 2: Convert to fraction form
    34,102.50/52,611.75 = 52,611.75/x
  3. Step 3: Cross multiply
    34,102.50x = 52,611.75 × 52,611.75
  4. Step 4: Simplify right side
    34,102.50x = 2,767,996,238.06
  5. Step 5: Solve for x
    x = 2,767,996,238.06/34,102.50
  6. Step 6: Final answer
    x = 81,166.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.