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Finding the Third Proportional to 1,412.58 and 2,954.25

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Solution

The third proportional to 1,412.58 and 2,954.25 is: 6,178.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.58 : 2,954.25 = 2,954.25 : x
  2. Step 2: Convert to fraction form
    1,412.58/2,954.25 = 2,954.25/x
  3. Step 3: Cross multiply
    1,412.58x = 2,954.25 × 2,954.25
  4. Step 4: Simplify right side
    1,412.58x = 8,727,593.06
  5. Step 5: Solve for x
    x = 8,727,593.06/1,412.58
  6. Step 6: Final answer
    x = 6,178.49

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.