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Finding the Third Proportional to 9,913.50 and 20,649

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Solution

The third proportional to 9,913.50 and 20,649 is: 43,010.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.50 : 20,649 = 20,649 : x
  2. Step 2: Convert to fraction form
    9,913.50/20,649 = 20,649/x
  3. Step 3: Cross multiply
    9,913.50x = 20,649 × 20,649
  4. Step 4: Simplify right side
    9,913.50x = 426,381,201
  5. Step 5: Solve for x
    x = 426,381,201/9,913.50
  6. Step 6: Final answer
    x = 43,010.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.