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Finding the Third Proportional to 16,098 and 23,529

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Solution

The third proportional to 16,098 and 23,529 is: 34,390.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,098 : 23,529 = 23,529 : x
  2. Step 2: Convert to fraction form
    16,098/23,529 = 23,529/x
  3. Step 3: Cross multiply
    16,098x = 23,529 × 23,529
  4. Step 4: Simplify right side
    16,098x = 553,613,841
  5. Step 5: Solve for x
    x = 553,613,841/16,098
  6. Step 6: Final answer
    x = 34,390.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.