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Finding the Third Proportional to 2,341.25 and 3,476.28

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Solution

The third proportional to 2,341.25 and 3,476.28 is: 5,161.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.25 : 3,476.28 = 3,476.28 : x
  2. Step 2: Convert to fraction form
    2,341.25/3,476.28 = 3,476.28/x
  3. Step 3: Cross multiply
    2,341.25x = 3,476.28 × 3,476.28
  4. Step 4: Simplify right side
    2,341.25x = 12,084,497.38
  5. Step 5: Solve for x
    x = 12,084,497.38/2,341.25
  6. Step 6: Final answer
    x = 5,161.56

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.