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Finding the Third Proportional to 13,870.97 and 19,627.13

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Solution

The third proportional to 13,870.97 and 19,627.13 is: 27,771.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,870.97 : 19,627.13 = 19,627.13 : x
  2. Step 2: Convert to fraction form
    13,870.97/19,627.13 = 19,627.13/x
  3. Step 3: Cross multiply
    13,870.97x = 19,627.13 × 19,627.13
  4. Step 4: Simplify right side
    13,870.97x = 385,224,035.77
  5. Step 5: Solve for x
    x = 385,224,035.77/13,870.97
  6. Step 6: Final answer
    x = 27,771.96

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.