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Finding the Third Proportional to 1,444.45 and 2,064.14

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Solution

The third proportional to 1,444.45 and 2,064.14 is: 2,949.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.45 : 2,064.14 = 2,064.14 : x
  2. Step 2: Convert to fraction form
    1,444.45/2,064.14 = 2,064.14/x
  3. Step 3: Cross multiply
    1,444.45x = 2,064.14 × 2,064.14
  4. Step 4: Simplify right side
    1,444.45x = 4,260,676.52
  5. Step 5: Solve for x
    x = 4,260,676.52/1,444.45
  6. Step 6: Final answer
    x = 2,949.68

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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.