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Finding the Third Proportional to 16,018 and 34,403

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Solution

The third proportional to 16,018 and 34,403 is: 73,889.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,018 : 34,403 = 34,403 : x
  2. Step 2: Convert to fraction form
    16,018/34,403 = 34,403/x
  3. Step 3: Cross multiply
    16,018x = 34,403 × 34,403
  4. Step 4: Simplify right side
    16,018x = 1,183,566,409
  5. Step 5: Solve for x
    x = 1,183,566,409/16,018
  6. Step 6: Final answer
    x = 73,889.77

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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.