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Finding the Third Proportional to 15,243.19 and 27,190.69

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Solution

The third proportional to 15,243.19 and 27,190.69 is: 48,502.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,243.19 : 27,190.69 = 27,190.69 : x
  2. Step 2: Convert to fraction form
    15,243.19/27,190.69 = 27,190.69/x
  3. Step 3: Cross multiply
    15,243.19x = 27,190.69 × 27,190.69
  4. Step 4: Simplify right side
    15,243.19x = 739,333,486.72
  5. Step 5: Solve for x
    x = 739,333,486.72/15,243.19
  6. Step 6: Final answer
    x = 48,502.55

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.