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Finding the Third Proportional to 13,520 and 29,039

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Solution

The third proportional to 13,520 and 29,039 is: 62,371.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,520 : 29,039 = 29,039 : x
  2. Step 2: Convert to fraction form
    13,520/29,039 = 29,039/x
  3. Step 3: Cross multiply
    13,520x = 29,039 × 29,039
  4. Step 4: Simplify right side
    13,520x = 843,263,521
  5. Step 5: Solve for x
    x = 843,263,521/13,520
  6. Step 6: Final answer
    x = 62,371.56

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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.