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Finding the Third Proportional to 547.70 and 1,173.23

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Solution

The third proportional to 547.70 and 1,173.23 is: 2,513.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.70 : 1,173.23 = 1,173.23 : x
  2. Step 2: Convert to fraction form
    547.70/1,173.23 = 1,173.23/x
  3. Step 3: Cross multiply
    547.70x = 1,173.23 × 1,173.23
  4. Step 4: Simplify right side
    547.70x = 1,376,478.90
  5. Step 5: Solve for x
    x = 1,376,478.90/547.70
  6. Step 6: Final answer
    x = 2,513.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.