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Finding the Third Proportional to 4,377.63 and 9,727.25

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Solution

The third proportional to 4,377.63 and 9,727.25 is: 21,614.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,377.63 : 9,727.25 = 9,727.25 : x
  2. Step 2: Convert to fraction form
    4,377.63/9,727.25 = 9,727.25/x
  3. Step 3: Cross multiply
    4,377.63x = 9,727.25 × 9,727.25
  4. Step 4: Simplify right side
    4,377.63x = 94,619,392.56
  5. Step 5: Solve for x
    x = 94,619,392.56/4,377.63
  6. Step 6: Final answer
    x = 21,614.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.