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Finding the Third Proportional to 1,582.75 and 3,266.69

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Solution

The third proportional to 1,582.75 and 3,266.69 is: 6,742.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.75 : 3,266.69 = 3,266.69 : x
  2. Step 2: Convert to fraction form
    1,582.75/3,266.69 = 3,266.69/x
  3. Step 3: Cross multiply
    1,582.75x = 3,266.69 × 3,266.69
  4. Step 4: Simplify right side
    1,582.75x = 10,671,247.22
  5. Step 5: Solve for x
    x = 10,671,247.22/1,582.75
  6. Step 6: Final answer
    x = 6,742.22

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.