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Finding the Third Proportional to 7,817.77 and 16,869.52

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Solution

The third proportional to 7,817.77 and 16,869.52 is: 36,401.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.77 : 16,869.52 = 16,869.52 : x
  2. Step 2: Convert to fraction form
    7,817.77/16,869.52 = 16,869.52/x
  3. Step 3: Cross multiply
    7,817.77x = 16,869.52 × 16,869.52
  4. Step 4: Simplify right side
    7,817.77x = 284,580,557.42
  5. Step 5: Solve for x
    x = 284,580,557.42/7,817.77
  6. Step 6: Final answer
    x = 36,401.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.