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Finding the Third Proportional to 6,448 and 15,628

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Solution

The third proportional to 6,448 and 15,628 is: 37,877.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448 : 15,628 = 15,628 : x
  2. Step 2: Convert to fraction form
    6,448/15,628 = 15,628/x
  3. Step 3: Cross multiply
    6,448x = 15,628 × 15,628
  4. Step 4: Simplify right side
    6,448x = 244,234,384
  5. Step 5: Solve for x
    x = 244,234,384/6,448
  6. Step 6: Final answer
    x = 37,877.54

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.