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Finding the Third Proportional to 547.82 and 1,124.47

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Solution

The third proportional to 547.82 and 1,124.47 is: 2,308.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.82 : 1,124.47 = 1,124.47 : x
  2. Step 2: Convert to fraction form
    547.82/1,124.47 = 1,124.47/x
  3. Step 3: Cross multiply
    547.82x = 1,124.47 × 1,124.47
  4. Step 4: Simplify right side
    547.82x = 1,264,428.87
  5. Step 5: Solve for x
    x = 1,264,428.87/547.82
  6. Step 6: Final answer
    x = 2,308.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.