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Finding the Third Proportional to 2,034 and 4,376.25

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Solution

The third proportional to 2,034 and 4,376.25 is: 9,415.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034 : 4,376.25 = 4,376.25 : x
  2. Step 2: Convert to fraction form
    2,034/4,376.25 = 4,376.25/x
  3. Step 3: Cross multiply
    2,034x = 4,376.25 × 4,376.25
  4. Step 4: Simplify right side
    2,034x = 19,151,564.06
  5. Step 5: Solve for x
    x = 19,151,564.06/2,034
  6. Step 6: Final answer
    x = 9,415.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.