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Finding the Third Proportional to 4,531 and 10,295

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Solution

The third proportional to 4,531 and 10,295 is: 23,391.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,531 : 10,295 = 10,295 : x
  2. Step 2: Convert to fraction form
    4,531/10,295 = 10,295/x
  3. Step 3: Cross multiply
    4,531x = 10,295 × 10,295
  4. Step 4: Simplify right side
    4,531x = 105,987,025
  5. Step 5: Solve for x
    x = 105,987,025/4,531
  6. Step 6: Final answer
    x = 23,391.53

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.