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Finding the Third Proportional to 13,517 and 29,033

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Solution

The third proportional to 13,517 and 29,033 is: 62,359.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,517 : 29,033 = 29,033 : x
  2. Step 2: Convert to fraction form
    13,517/29,033 = 29,033/x
  3. Step 3: Cross multiply
    13,517x = 29,033 × 29,033
  4. Step 4: Simplify right side
    13,517x = 842,915,089
  5. Step 5: Solve for x
    x = 842,915,089/13,517
  6. Step 6: Final answer
    x = 62,359.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.