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Finding the Third Proportional to 4,401.84 and 6,871.08

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Solution

The third proportional to 4,401.84 and 6,871.08 is: 10,725.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,401.84 : 6,871.08 = 6,871.08 : x
  2. Step 2: Convert to fraction form
    4,401.84/6,871.08 = 6,871.08/x
  3. Step 3: Cross multiply
    4,401.84x = 6,871.08 × 6,871.08
  4. Step 4: Simplify right side
    4,401.84x = 47,211,714.60
  5. Step 5: Solve for x
    x = 47,211,714.60/4,401.84
  6. Step 6: Final answer
    x = 10,725.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.