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Finding the Third Proportional to 551.44 and 1,159.69

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Solution

The third proportional to 551.44 and 1,159.69 is: 2,438.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.44 : 1,159.69 = 1,159.69 : x
  2. Step 2: Convert to fraction form
    551.44/1,159.69 = 1,159.69/x
  3. Step 3: Cross multiply
    551.44x = 1,159.69 × 1,159.69
  4. Step 4: Simplify right side
    551.44x = 1,344,875.10
  5. Step 5: Solve for x
    x = 1,344,875.10/551.44
  6. Step 6: Final answer
    x = 2,438.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.