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Finding the Third Proportional to 10,405.97 and 22,473.70

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Solution

The third proportional to 10,405.97 and 22,473.70 is: 48,536.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.97 : 22,473.70 = 22,473.70 : x
  2. Step 2: Convert to fraction form
    10,405.97/22,473.70 = 22,473.70/x
  3. Step 3: Cross multiply
    10,405.97x = 22,473.70 × 22,473.70
  4. Step 4: Simplify right side
    10,405.97x = 505,067,332.15
  5. Step 5: Solve for x
    x = 505,067,332.15/10,405.97
  6. Step 6: Final answer
    x = 48,536.31

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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.