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Finding the Third Proportional to 548.72 and 1,164.94

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Solution

The third proportional to 548.72 and 1,164.94 is: 2,473.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.72 : 1,164.94 = 1,164.94 : x
  2. Step 2: Convert to fraction form
    548.72/1,164.94 = 1,164.94/x
  3. Step 3: Cross multiply
    548.72x = 1,164.94 × 1,164.94
  4. Step 4: Simplify right side
    548.72x = 1,357,079.38
  5. Step 5: Solve for x
    x = 1,357,079.38/548.72
  6. Step 6: Final answer
    x = 2,473.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.