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Finding the Third Proportional to 16,497.75 and 34,851.75

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Solution

The third proportional to 16,497.75 and 34,851.75 is: 73,624.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,497.75 : 34,851.75 = 34,851.75 : x
  2. Step 2: Convert to fraction form
    16,497.75/34,851.75 = 34,851.75/x
  3. Step 3: Cross multiply
    16,497.75x = 34,851.75 × 34,851.75
  4. Step 4: Simplify right side
    16,497.75x = 1,214,644,478.06
  5. Step 5: Solve for x
    x = 1,214,644,478.06/16,497.75
  6. Step 6: Final answer
    x = 73,624.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.