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Finding the Third Proportional to 15,100 and 35,529

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Solution

The third proportional to 15,100 and 35,529 is: 83,596.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,100 : 35,529 = 35,529 : x
  2. Step 2: Convert to fraction form
    15,100/35,529 = 35,529/x
  3. Step 3: Cross multiply
    15,100x = 35,529 × 35,529
  4. Step 4: Simplify right side
    15,100x = 1,262,309,841
  5. Step 5: Solve for x
    x = 1,262,309,841/15,100
  6. Step 6: Final answer
    x = 83,596.68

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.