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Finding the Third Proportional to 771.81 and 1,102.94

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Solution

The third proportional to 771.81 and 1,102.94 is: 1,576.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.81 : 1,102.94 = 1,102.94 : x
  2. Step 2: Convert to fraction form
    771.81/1,102.94 = 1,102.94/x
  3. Step 3: Cross multiply
    771.81x = 1,102.94 × 1,102.94
  4. Step 4: Simplify right side
    771.81x = 1,216,471.13
  5. Step 5: Solve for x
    x = 1,216,471.13/771.81
  6. Step 6: Final answer
    x = 1,576.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.