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Finding the Third Proportional to 4,637.25 and 9,502.31

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Solution

The third proportional to 4,637.25 and 9,502.31 is: 19,471.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637.25 : 9,502.31 = 9,502.31 : x
  2. Step 2: Convert to fraction form
    4,637.25/9,502.31 = 9,502.31/x
  3. Step 3: Cross multiply
    4,637.25x = 9,502.31 × 9,502.31
  4. Step 4: Simplify right side
    4,637.25x = 90,293,942.85
  5. Step 5: Solve for x
    x = 90,293,942.85/4,637.25
  6. Step 6: Final answer
    x = 19,471.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.