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Finding the Third Proportional to 1,008.05 and 1,584.07

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Solution

The third proportional to 1,008.05 and 1,584.07 is: 2,489.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.05 : 1,584.07 = 1,584.07 : x
  2. Step 2: Convert to fraction form
    1,008.05/1,584.07 = 1,584.07/x
  3. Step 3: Cross multiply
    1,008.05x = 1,584.07 × 1,584.07
  4. Step 4: Simplify right side
    1,008.05x = 2,509,278.75
  5. Step 5: Solve for x
    x = 2,509,278.75/1,008.05
  6. Step 6: Final answer
    x = 2,489.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.