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Finding the Third Proportional to 4,193.65 and 6,496.45

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Solution

The third proportional to 4,193.65 and 6,496.45 is: 10,063.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.65 : 6,496.45 = 6,496.45 : x
  2. Step 2: Convert to fraction form
    4,193.65/6,496.45 = 6,496.45/x
  3. Step 3: Cross multiply
    4,193.65x = 6,496.45 × 6,496.45
  4. Step 4: Simplify right side
    4,193.65x = 42,203,903.21
  5. Step 5: Solve for x
    x = 42,203,903.21/4,193.65
  6. Step 6: Final answer
    x = 10,063.77

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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.