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Finding the Third Proportional to 4,200.19 and 6,988.78

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Solution

The third proportional to 4,200.19 and 6,988.78 is: 11,628.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.19 : 6,988.78 = 6,988.78 : x
  2. Step 2: Convert to fraction form
    4,200.19/6,988.78 = 6,988.78/x
  3. Step 3: Cross multiply
    4,200.19x = 6,988.78 × 6,988.78
  4. Step 4: Simplify right side
    4,200.19x = 48,843,063.36
  5. Step 5: Solve for x
    x = 48,843,063.36/4,200.19
  6. Step 6: Final answer
    x = 11,628.78

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.