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Finding the Third Proportional to 16,493.50 and 34,607

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Solution

The third proportional to 16,493.50 and 34,607 is: 72,613.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,493.50 : 34,607 = 34,607 : x
  2. Step 2: Convert to fraction form
    16,493.50/34,607 = 34,607/x
  3. Step 3: Cross multiply
    16,493.50x = 34,607 × 34,607
  4. Step 4: Simplify right side
    16,493.50x = 1,197,644,449
  5. Step 5: Solve for x
    x = 1,197,644,449/16,493.50
  6. Step 6: Final answer
    x = 72,613.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.