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Finding the Third Proportional to 523.75 and 1,101.38

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Solution

The third proportional to 523.75 and 1,101.38 is: 2,316.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.75 : 1,101.38 = 1,101.38 : x
  2. Step 2: Convert to fraction form
    523.75/1,101.38 = 1,101.38/x
  3. Step 3: Cross multiply
    523.75x = 1,101.38 × 1,101.38
  4. Step 4: Simplify right side
    523.75x = 1,213,026.89
  5. Step 5: Solve for x
    x = 1,213,026.89/523.75
  6. Step 6: Final answer
    x = 2,316.04

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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.