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Finding the Third Proportional to 7,675.17 and 16,811.30

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Solution

The third proportional to 7,675.17 and 16,811.30 is: 36,822.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.17 : 16,811.30 = 16,811.30 : x
  2. Step 2: Convert to fraction form
    7,675.17/16,811.30 = 16,811.30/x
  3. Step 3: Cross multiply
    7,675.17x = 16,811.30 × 16,811.30
  4. Step 4: Simplify right side
    7,675.17x = 282,619,702.62
  5. Step 5: Solve for x
    x = 282,619,702.62/7,675.17
  6. Step 6: Final answer
    x = 36,822.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.