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Finding the Third Proportional to 11,524.20 and 17,798.12

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Solution

The third proportional to 11,524.20 and 17,798.12 is: 27,487.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.20 : 17,798.12 = 17,798.12 : x
  2. Step 2: Convert to fraction form
    11,524.20/17,798.12 = 17,798.12/x
  3. Step 3: Cross multiply
    11,524.20x = 17,798.12 × 17,798.12
  4. Step 4: Simplify right side
    11,524.20x = 316,772,905.90
  5. Step 5: Solve for x
    x = 316,772,905.90/11,524.20
  6. Step 6: Final answer
    x = 27,487.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.