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Finding the Third Proportional to 17,154 and 25,772.25

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Solution

The third proportional to 17,154 and 25,772.25 is: 38,720.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,154 : 25,772.25 = 25,772.25 : x
  2. Step 2: Convert to fraction form
    17,154/25,772.25 = 25,772.25/x
  3. Step 3: Cross multiply
    17,154x = 25,772.25 × 25,772.25
  4. Step 4: Simplify right side
    17,154x = 664,208,870.06
  5. Step 5: Solve for x
    x = 664,208,870.06/17,154
  6. Step 6: Final answer
    x = 38,720.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.