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Finding the Third Proportional to 3,102.05 and 4,060.76

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Solution

The third proportional to 3,102.05 and 4,060.76 is: 5,315.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.05 : 4,060.76 = 4,060.76 : x
  2. Step 2: Convert to fraction form
    3,102.05/4,060.76 = 4,060.76/x
  3. Step 3: Cross multiply
    3,102.05x = 4,060.76 × 4,060.76
  4. Step 4: Simplify right side
    3,102.05x = 16,489,754.01
  5. Step 5: Solve for x
    x = 16,489,754.01/3,102.05
  6. Step 6: Final answer
    x = 5,315.77

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.