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Finding the Third Proportional to 10,649.75 and 23,440.75

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Solution

The third proportional to 10,649.75 and 23,440.75 is: 51,594.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.75 : 23,440.75 = 23,440.75 : x
  2. Step 2: Convert to fraction form
    10,649.75/23,440.75 = 23,440.75/x
  3. Step 3: Cross multiply
    10,649.75x = 23,440.75 × 23,440.75
  4. Step 4: Simplify right side
    10,649.75x = 549,468,760.56
  5. Step 5: Solve for x
    x = 549,468,760.56/10,649.75
  6. Step 6: Final answer
    x = 51,594.52

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.