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Finding the Third Proportional to 9,513.50 and 20,491

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Solution

The third proportional to 9,513.50 and 20,491 is: 44,135.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513.50 : 20,491 = 20,491 : x
  2. Step 2: Convert to fraction form
    9,513.50/20,491 = 20,491/x
  3. Step 3: Cross multiply
    9,513.50x = 20,491 × 20,491
  4. Step 4: Simplify right side
    9,513.50x = 419,881,081
  5. Step 5: Solve for x
    x = 419,881,081/9,513.50
  6. Step 6: Final answer
    x = 44,135.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.