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Finding the Third Proportional to 6,700.22 and 10,625.77

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Solution

The third proportional to 6,700.22 and 10,625.77 is: 16,851.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.22 : 10,625.77 = 10,625.77 : x
  2. Step 2: Convert to fraction form
    6,700.22/10,625.77 = 10,625.77/x
  3. Step 3: Cross multiply
    6,700.22x = 10,625.77 × 10,625.77
  4. Step 4: Simplify right side
    6,700.22x = 112,906,895.12
  5. Step 5: Solve for x
    x = 112,906,895.12/6,700.22
  6. Step 6: Final answer
    x = 16,851.23

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.