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Finding the Third Proportional to 3,398.63 and 7,106.06

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Solution

The third proportional to 3,398.63 and 7,106.06 is: 14,857.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.63 : 7,106.06 = 7,106.06 : x
  2. Step 2: Convert to fraction form
    3,398.63/7,106.06 = 7,106.06/x
  3. Step 3: Cross multiply
    3,398.63x = 7,106.06 × 7,106.06
  4. Step 4: Simplify right side
    3,398.63x = 50,496,124.25
  5. Step 5: Solve for x
    x = 50,496,124.25/3,398.63
  6. Step 6: Final answer
    x = 14,857.81

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.