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Finding the Third Proportional to 2,271.19 and 3,332.44

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Solution

The third proportional to 2,271.19 and 3,332.44 is: 4,889.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.19 : 3,332.44 = 3,332.44 : x
  2. Step 2: Convert to fraction form
    2,271.19/3,332.44 = 3,332.44/x
  3. Step 3: Cross multiply
    2,271.19x = 3,332.44 × 3,332.44
  4. Step 4: Simplify right side
    2,271.19x = 11,105,139.69
  5. Step 5: Solve for x
    x = 11,105,139.69/2,271.19
  6. Step 6: Final answer
    x = 4,889.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.