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Finding the Third Proportional to 6,448 and 14,860

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Solution

The third proportional to 6,448 and 14,860 is: 34,246.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448 : 14,860 = 14,860 : x
  2. Step 2: Convert to fraction form
    6,448/14,860 = 14,860/x
  3. Step 3: Cross multiply
    6,448x = 14,860 × 14,860
  4. Step 4: Simplify right side
    6,448x = 220,819,600
  5. Step 5: Solve for x
    x = 220,819,600/6,448
  6. Step 6: Final answer
    x = 34,246.22

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.