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Finding the Third Proportional to 9,285 and 11,797.50

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Solution

The third proportional to 9,285 and 11,797.50 is: 14,989.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285 : 11,797.50 = 11,797.50 : x
  2. Step 2: Convert to fraction form
    9,285/11,797.50 = 11,797.50/x
  3. Step 3: Cross multiply
    9,285x = 11,797.50 × 11,797.50
  4. Step 4: Simplify right side
    9,285x = 139,181,006.25
  5. Step 5: Solve for x
    x = 139,181,006.25/9,285
  6. Step 6: Final answer
    x = 14,989.88

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.