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Finding the Third Proportional to 13,934.53 and 19,960.17

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Solution

The third proportional to 13,934.53 and 19,960.17 is: 28,591.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,934.53 : 19,960.17 = 19,960.17 : x
  2. Step 2: Convert to fraction form
    13,934.53/19,960.17 = 19,960.17/x
  3. Step 3: Cross multiply
    13,934.53x = 19,960.17 × 19,960.17
  4. Step 4: Simplify right side
    13,934.53x = 398,408,461.28
  5. Step 5: Solve for x
    x = 398,408,461.28/13,934.53
  6. Step 6: Final answer
    x = 28,591.45

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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.