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Finding the Third Proportional to 11,677.17 and 25,689.77

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Solution

The third proportional to 11,677.17 and 25,689.77 is: 56,517.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.17 : 25,689.77 = 25,689.77 : x
  2. Step 2: Convert to fraction form
    11,677.17/25,689.77 = 25,689.77/x
  3. Step 3: Cross multiply
    11,677.17x = 25,689.77 × 25,689.77
  4. Step 4: Simplify right side
    11,677.17x = 659,964,534.53
  5. Step 5: Solve for x
    x = 659,964,534.53/11,677.17
  6. Step 6: Final answer
    x = 56,517.50

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.