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Finding the Third Proportional to 1,778.75 and 2,622.13

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Solution

The third proportional to 1,778.75 and 2,622.13 is: 3,865.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.75 : 2,622.13 = 2,622.13 : x
  2. Step 2: Convert to fraction form
    1,778.75/2,622.13 = 2,622.13/x
  3. Step 3: Cross multiply
    1,778.75x = 2,622.13 × 2,622.13
  4. Step 4: Simplify right side
    1,778.75x = 6,875,539.52
  5. Step 5: Solve for x
    x = 6,875,539.52/1,778.75
  6. Step 6: Final answer
    x = 3,865.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.