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Finding the Third Proportional to 3,106.13 and 4,694.06

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Solution

The third proportional to 3,106.13 and 4,694.06 is: 7,093.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.13 : 4,694.06 = 4,694.06 : x
  2. Step 2: Convert to fraction form
    3,106.13/4,694.06 = 4,694.06/x
  3. Step 3: Cross multiply
    3,106.13x = 4,694.06 × 4,694.06
  4. Step 4: Simplify right side
    3,106.13x = 22,034,222.75
  5. Step 5: Solve for x
    x = 22,034,222.75/3,106.13
  6. Step 6: Final answer
    x = 7,093.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.