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Finding the Third Proportional to 3,748 and 6,215

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Solution

The third proportional to 3,748 and 6,215 is: 10,305.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748 : 6,215 = 6,215 : x
  2. Step 2: Convert to fraction form
    3,748/6,215 = 6,215/x
  3. Step 3: Cross multiply
    3,748x = 6,215 × 6,215
  4. Step 4: Simplify right side
    3,748x = 38,626,225
  5. Step 5: Solve for x
    x = 38,626,225/3,748
  6. Step 6: Final answer
    x = 10,305.82

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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.