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Finding the Third Proportional to 19,513.41 and 27,886.78

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Solution

The third proportional to 19,513.41 and 27,886.78 is: 39,853.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,513.41 : 27,886.78 = 27,886.78 : x
  2. Step 2: Convert to fraction form
    19,513.41/27,886.78 = 27,886.78/x
  3. Step 3: Cross multiply
    19,513.41x = 27,886.78 × 27,886.78
  4. Step 4: Simplify right side
    19,513.41x = 777,672,568.49
  5. Step 5: Solve for x
    x = 777,672,568.49/19,513.41
  6. Step 6: Final answer
    x = 39,853.25

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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.