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Finding the Third Proportional to 4,969 and 10,531

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Solution

The third proportional to 4,969 and 10,531 is: 22,318.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969 : 10,531 = 10,531 : x
  2. Step 2: Convert to fraction form
    4,969/10,531 = 10,531/x
  3. Step 3: Cross multiply
    4,969x = 10,531 × 10,531
  4. Step 4: Simplify right side
    4,969x = 110,901,961
  5. Step 5: Solve for x
    x = 110,901,961/4,969
  6. Step 6: Final answer
    x = 22,318.77

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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.