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Finding the Third Proportional to 19,494.42 and 27,877.92

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Solution

The third proportional to 19,494.42 and 27,877.92 is: 39,866.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,494.42 : 27,877.92 = 27,877.92 : x
  2. Step 2: Convert to fraction form
    19,494.42/27,877.92 = 27,877.92/x
  3. Step 3: Cross multiply
    19,494.42x = 27,877.92 × 27,877.92
  4. Step 4: Simplify right side
    19,494.42x = 777,178,528.07
  5. Step 5: Solve for x
    x = 777,178,528.07/19,494.42
  6. Step 6: Final answer
    x = 39,866.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.