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Finding the Third Proportional to 13,984 and 21,914

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Solution

The third proportional to 13,984 and 21,914 is: 34,340.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984 : 21,914 = 21,914 : x
  2. Step 2: Convert to fraction form
    13,984/21,914 = 21,914/x
  3. Step 3: Cross multiply
    13,984x = 21,914 × 21,914
  4. Step 4: Simplify right side
    13,984x = 480,223,396
  5. Step 5: Solve for x
    x = 480,223,396/13,984
  6. Step 6: Final answer
    x = 34,340.92

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.