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Finding the Third Proportional to 4,270.50 and 9,363.66

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Solution

The third proportional to 4,270.50 and 9,363.66 is: 20,531.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270.50 : 9,363.66 = 9,363.66 : x
  2. Step 2: Convert to fraction form
    4,270.50/9,363.66 = 9,363.66/x
  3. Step 3: Cross multiply
    4,270.50x = 9,363.66 × 9,363.66
  4. Step 4: Simplify right side
    4,270.50x = 87,678,058.37
  5. Step 5: Solve for x
    x = 87,678,058.37/4,270.50
  6. Step 6: Final answer
    x = 20,531.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.