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Finding the Third Proportional to 10,695.80 and 16,647.40

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Solution

The third proportional to 10,695.80 and 16,647.40 is: 25,910.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,695.80 : 16,647.40 = 16,647.40 : x
  2. Step 2: Convert to fraction form
    10,695.80/16,647.40 = 16,647.40/x
  3. Step 3: Cross multiply
    10,695.80x = 16,647.40 × 16,647.40
  4. Step 4: Simplify right side
    10,695.80x = 277,135,874.74
  5. Step 5: Solve for x
    x = 277,135,874.74/10,695.80
  6. Step 6: Final answer
    x = 25,910.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.