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Finding the Third Proportional to 13,911 and 21,568.50

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Solution

The third proportional to 13,911 and 21,568.50 is: 33,441.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,911 : 21,568.50 = 21,568.50 : x
  2. Step 2: Convert to fraction form
    13,911/21,568.50 = 21,568.50/x
  3. Step 3: Cross multiply
    13,911x = 21,568.50 × 21,568.50
  4. Step 4: Simplify right side
    13,911x = 465,200,192.25
  5. Step 5: Solve for x
    x = 465,200,192.25/13,911
  6. Step 6: Final answer
    x = 33,441.18

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.