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Finding the Third Proportional to 547.59 and 1,185.47

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Solution

The third proportional to 547.59 and 1,185.47 is: 2,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.59 : 1,185.47 = 1,185.47 : x
  2. Step 2: Convert to fraction form
    547.59/1,185.47 = 1,185.47/x
  3. Step 3: Cross multiply
    547.59x = 1,185.47 × 1,185.47
  4. Step 4: Simplify right side
    547.59x = 1,405,336.16
  5. Step 5: Solve for x
    x = 1,405,336.16/547.59
  6. Step 6: Final answer
    x = 2,566.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.