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Finding the Third Proportional to 10,455.17 and 16,194.62

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Solution

The third proportional to 10,455.17 and 16,194.62 is: 25,084.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.17 : 16,194.62 = 16,194.62 : x
  2. Step 2: Convert to fraction form
    10,455.17/16,194.62 = 16,194.62/x
  3. Step 3: Cross multiply
    10,455.17x = 16,194.62 × 16,194.62
  4. Step 4: Simplify right side
    10,455.17x = 262,265,752.37
  5. Step 5: Solve for x
    x = 262,265,752.37/10,455.17
  6. Step 6: Final answer
    x = 25,084.79

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.