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Finding the Third Proportional to 1,265.84 and 2,633.13

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Solution

The third proportional to 1,265.84 and 2,633.13 is: 5,477.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.84 : 2,633.13 = 2,633.13 : x
  2. Step 2: Convert to fraction form
    1,265.84/2,633.13 = 2,633.13/x
  3. Step 3: Cross multiply
    1,265.84x = 2,633.13 × 2,633.13
  4. Step 4: Simplify right side
    1,265.84x = 6,933,388.41
  5. Step 5: Solve for x
    x = 6,933,388.41/1,265.84
  6. Step 6: Final answer
    x = 5,477.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.