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Finding the Third Proportional to 13,096.25 and 28,285

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Solution

The third proportional to 13,096.25 and 28,285 is: 61,089.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096.25 : 28,285 = 28,285 : x
  2. Step 2: Convert to fraction form
    13,096.25/28,285 = 28,285/x
  3. Step 3: Cross multiply
    13,096.25x = 28,285 × 28,285
  4. Step 4: Simplify right side
    13,096.25x = 800,041,225
  5. Step 5: Solve for x
    x = 800,041,225/13,096.25
  6. Step 6: Final answer
    x = 61,089.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.