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Finding the Third Proportional to 11,276.25 and 24,473.63

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Solution

The third proportional to 11,276.25 and 24,473.63 is: 53,116.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,276.25 : 24,473.63 = 24,473.63 : x
  2. Step 2: Convert to fraction form
    11,276.25/24,473.63 = 24,473.63/x
  3. Step 3: Cross multiply
    11,276.25x = 24,473.63 × 24,473.63
  4. Step 4: Simplify right side
    11,276.25x = 598,958,320.64
  5. Step 5: Solve for x
    x = 598,958,320.64/11,276.25
  6. Step 6: Final answer
    x = 53,116.80

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.