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Finding the Third Proportional to 15,886.13 and 21,178.97

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Solution

The third proportional to 15,886.13 and 21,178.97 is: 28,235.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,886.13 : 21,178.97 = 21,178.97 : x
  2. Step 2: Convert to fraction form
    15,886.13/21,178.97 = 21,178.97/x
  3. Step 3: Cross multiply
    15,886.13x = 21,178.97 × 21,178.97
  4. Step 4: Simplify right side
    15,886.13x = 448,548,717.31
  5. Step 5: Solve for x
    x = 448,548,717.31/15,886.13
  6. Step 6: Final answer
    x = 28,235.25

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.