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Finding the Third Proportional to 9,119.25 and 13,746.38

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Solution

The third proportional to 9,119.25 and 13,746.38 is: 20,721.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,119.25 : 13,746.38 = 13,746.38 : x
  2. Step 2: Convert to fraction form
    9,119.25/13,746.38 = 13,746.38/x
  3. Step 3: Cross multiply
    9,119.25x = 13,746.38 × 13,746.38
  4. Step 4: Simplify right side
    9,119.25x = 188,962,825.64
  5. Step 5: Solve for x
    x = 188,962,825.64/9,119.25
  6. Step 6: Final answer
    x = 20,721.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.