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Finding the Third Proportional to 2,924.44 and 4,545.28

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Solution

The third proportional to 2,924.44 and 4,545.28 is: 7,064.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.44 : 4,545.28 = 4,545.28 : x
  2. Step 2: Convert to fraction form
    2,924.44/4,545.28 = 4,545.28/x
  3. Step 3: Cross multiply
    2,924.44x = 4,545.28 × 4,545.28
  4. Step 4: Simplify right side
    2,924.44x = 20,659,581.64
  5. Step 5: Solve for x
    x = 20,659,581.64/2,924.44
  6. Step 6: Final answer
    x = 7,064.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.