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Finding the Third Proportional to 11,909.53 and 25,458.47

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Solution

The third proportional to 11,909.53 and 25,458.47 is: 54,421.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909.53 : 25,458.47 = 25,458.47 : x
  2. Step 2: Convert to fraction form
    11,909.53/25,458.47 = 25,458.47/x
  3. Step 3: Cross multiply
    11,909.53x = 25,458.47 × 25,458.47
  4. Step 4: Simplify right side
    11,909.53x = 648,133,631.09
  5. Step 5: Solve for x
    x = 648,133,631.09/11,909.53
  6. Step 6: Final answer
    x = 54,421.42

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.