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Finding the Third Proportional to 19,254.75 and 28,215

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Solution

The third proportional to 19,254.75 and 28,215 is: 41,344.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,254.75 : 28,215 = 28,215 : x
  2. Step 2: Convert to fraction form
    19,254.75/28,215 = 28,215/x
  3. Step 3: Cross multiply
    19,254.75x = 28,215 × 28,215
  4. Step 4: Simplify right side
    19,254.75x = 796,086,225
  5. Step 5: Solve for x
    x = 796,086,225/19,254.75
  6. Step 6: Final answer
    x = 41,344.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.