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Finding the Third Proportional to 6,625.86 and 14,422.11

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Solution

The third proportional to 6,625.86 and 14,422.11 is: 31,391.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,625.86 : 14,422.11 = 14,422.11 : x
  2. Step 2: Convert to fraction form
    6,625.86/14,422.11 = 14,422.11/x
  3. Step 3: Cross multiply
    6,625.86x = 14,422.11 × 14,422.11
  4. Step 4: Simplify right side
    6,625.86x = 207,997,351.50
  5. Step 5: Solve for x
    x = 207,997,351.50/6,625.86
  6. Step 6: Final answer
    x = 31,391.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.