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Finding the Third Proportional to 16,663.50 and 34,269

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Solution

The third proportional to 16,663.50 and 34,269 is: 70,475.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,663.50 : 34,269 = 34,269 : x
  2. Step 2: Convert to fraction form
    16,663.50/34,269 = 34,269/x
  3. Step 3: Cross multiply
    16,663.50x = 34,269 × 34,269
  4. Step 4: Simplify right side
    16,663.50x = 1,174,364,361
  5. Step 5: Solve for x
    x = 1,174,364,361/16,663.50
  6. Step 6: Final answer
    x = 70,475.25

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.