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Finding the Third Proportional to 13,939.28 and 19,870.95

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Solution

The third proportional to 13,939.28 and 19,870.95 is: 28,326.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,939.28 : 19,870.95 = 19,870.95 : x
  2. Step 2: Convert to fraction form
    13,939.28/19,870.95 = 19,870.95/x
  3. Step 3: Cross multiply
    13,939.28x = 19,870.95 × 19,870.95
  4. Step 4: Simplify right side
    13,939.28x = 394,854,467.61
  5. Step 5: Solve for x
    x = 394,854,467.61/13,939.28
  6. Step 6: Final answer
    x = 28,326.75

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