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Finding the Third Proportional to 1,937.12 and 2,919.56

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Solution

The third proportional to 1,937.12 and 2,919.56 is: 4,400.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.12 : 2,919.56 = 2,919.56 : x
  2. Step 2: Convert to fraction form
    1,937.12/2,919.56 = 2,919.56/x
  3. Step 3: Cross multiply
    1,937.12x = 2,919.56 × 2,919.56
  4. Step 4: Simplify right side
    1,937.12x = 8,523,828.08
  5. Step 5: Solve for x
    x = 8,523,828.08/1,937.12
  6. Step 6: Final answer
    x = 4,400.26

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Why These Related Problems?

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