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Finding the Third Proportional to 17,671.25 and 25,976.50

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Solution

The third proportional to 17,671.25 and 25,976.50 is: 38,185.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,671.25 : 25,976.50 = 25,976.50 : x
  2. Step 2: Convert to fraction form
    17,671.25/25,976.50 = 25,976.50/x
  3. Step 3: Cross multiply
    17,671.25x = 25,976.50 × 25,976.50
  4. Step 4: Simplify right side
    17,671.25x = 674,778,552.25
  5. Step 5: Solve for x
    x = 674,778,552.25/17,671.25
  6. Step 6: Final answer
    x = 38,185.11

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.