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Finding the Third Proportional to 1,089.28 and 1,644.47

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Solution

The third proportional to 1,089.28 and 1,644.47 is: 2,482.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.28 : 1,644.47 = 1,644.47 : x
  2. Step 2: Convert to fraction form
    1,089.28/1,644.47 = 1,644.47/x
  3. Step 3: Cross multiply
    1,089.28x = 1,644.47 × 1,644.47
  4. Step 4: Simplify right side
    1,089.28x = 2,704,277.47
  5. Step 5: Solve for x
    x = 2,704,277.47/1,089.28
  6. Step 6: Final answer
    x = 2,482.63

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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.