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Finding the Third Proportional to 1,979.25 and 3,133.92

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Solution

The third proportional to 1,979.25 and 3,133.92 is: 4,962.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.25 : 3,133.92 = 3,133.92 : x
  2. Step 2: Convert to fraction form
    1,979.25/3,133.92 = 3,133.92/x
  3. Step 3: Cross multiply
    1,979.25x = 3,133.92 × 3,133.92
  4. Step 4: Simplify right side
    1,979.25x = 9,821,466.32
  5. Step 5: Solve for x
    x = 9,821,466.32/1,979.25
  6. Step 6: Final answer
    x = 4,962.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.