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Finding the Third Proportional to 7,989.75 and 17,205.94

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Solution

The third proportional to 7,989.75 and 17,205.94 is: 37,053.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,989.75 : 17,205.94 = 17,205.94 : x
  2. Step 2: Convert to fraction form
    7,989.75/17,205.94 = 17,205.94/x
  3. Step 3: Cross multiply
    7,989.75x = 17,205.94 × 17,205.94
  4. Step 4: Simplify right side
    7,989.75x = 296,044,285.25
  5. Step 5: Solve for x
    x = 296,044,285.25/7,989.75
  6. Step 6: Final answer
    x = 37,053.01

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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.