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Finding the Third Proportional to 10,517 and 23,001

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Solution

The third proportional to 10,517 and 23,001 is: 50,303.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517 : 23,001 = 23,001 : x
  2. Step 2: Convert to fraction form
    10,517/23,001 = 23,001/x
  3. Step 3: Cross multiply
    10,517x = 23,001 × 23,001
  4. Step 4: Simplify right side
    10,517x = 529,046,001
  5. Step 5: Solve for x
    x = 529,046,001/10,517
  6. Step 6: Final answer
    x = 50,303.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.