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Finding the Third Proportional to 6,448 and 14,944

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Solution

The third proportional to 6,448 and 14,944 is: 34,634.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448 : 14,944 = 14,944 : x
  2. Step 2: Convert to fraction form
    6,448/14,944 = 14,944/x
  3. Step 3: Cross multiply
    6,448x = 14,944 × 14,944
  4. Step 4: Simplify right side
    6,448x = 223,323,136
  5. Step 5: Solve for x
    x = 223,323,136/6,448
  6. Step 6: Final answer
    x = 34,634.48

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.