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Finding the Third Proportional to 16,649.72 and 34,838.44

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Solution

The third proportional to 16,649.72 and 34,838.44 is: 72,897.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,649.72 : 34,838.44 = 34,838.44 : x
  2. Step 2: Convert to fraction form
    16,649.72/34,838.44 = 34,838.44/x
  3. Step 3: Cross multiply
    16,649.72x = 34,838.44 × 34,838.44
  4. Step 4: Simplify right side
    16,649.72x = 1,213,716,727.44
  5. Step 5: Solve for x
    x = 1,213,716,727.44/16,649.72
  6. Step 6: Final answer
    x = 72,897.13

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.