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Finding the Third Proportional to 9,099.75 and 13,649.63

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Solution

The third proportional to 9,099.75 and 13,649.63 is: 20,474.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099.75 : 13,649.63 = 13,649.63 : x
  2. Step 2: Convert to fraction form
    9,099.75/13,649.63 = 13,649.63/x
  3. Step 3: Cross multiply
    9,099.75x = 13,649.63 × 13,649.63
  4. Step 4: Simplify right side
    9,099.75x = 186,312,262.64
  5. Step 5: Solve for x
    x = 186,312,262.64/9,099.75
  6. Step 6: Final answer
    x = 20,474.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.