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Finding the Third Proportional to 4,215.38 and 6,513.19

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Solution

The third proportional to 4,215.38 and 6,513.19 is: 10,063.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215.38 : 6,513.19 = 6,513.19 : x
  2. Step 2: Convert to fraction form
    4,215.38/6,513.19 = 6,513.19/x
  3. Step 3: Cross multiply
    4,215.38x = 6,513.19 × 6,513.19
  4. Step 4: Simplify right side
    4,215.38x = 42,421,611.41
  5. Step 5: Solve for x
    x = 42,421,611.41/4,215.38
  6. Step 6: Final answer
    x = 10,063.54

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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.