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Finding the Third Proportional to 1,443.87 and 2,064.76

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Solution

The third proportional to 1,443.87 and 2,064.76 is: 2,952.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.87 : 2,064.76 = 2,064.76 : x
  2. Step 2: Convert to fraction form
    1,443.87/2,064.76 = 2,064.76/x
  3. Step 3: Cross multiply
    1,443.87x = 2,064.76 × 2,064.76
  4. Step 4: Simplify right side
    1,443.87x = 4,263,240.96
  5. Step 5: Solve for x
    x = 4,263,240.96/1,443.87
  6. Step 6: Final answer
    x = 2,952.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.