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Finding the Third Proportional to 771.47 and 1,569.94

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Solution

The third proportional to 771.47 and 1,569.94 is: 3,194.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.47 : 1,569.94 = 1,569.94 : x
  2. Step 2: Convert to fraction form
    771.47/1,569.94 = 1,569.94/x
  3. Step 3: Cross multiply
    771.47x = 1,569.94 × 1,569.94
  4. Step 4: Simplify right side
    771.47x = 2,464,703.75
  5. Step 5: Solve for x
    x = 2,464,703.75/771.47
  6. Step 6: Final answer
    x = 3,194.82

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.