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Finding the Third Proportional to 6,993.84 and 10,829.64

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Solution

The third proportional to 6,993.84 and 10,829.64 is: 16,769.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.84 : 10,829.64 = 10,829.64 : x
  2. Step 2: Convert to fraction form
    6,993.84/10,829.64 = 10,829.64/x
  3. Step 3: Cross multiply
    6,993.84x = 10,829.64 × 10,829.64
  4. Step 4: Simplify right side
    6,993.84x = 117,281,031.46
  5. Step 5: Solve for x
    x = 117,281,031.46/6,993.84
  6. Step 6: Final answer
    x = 16,769.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.