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Finding the Third Proportional to 11,742.47 and 25,193.53

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Solution

The third proportional to 11,742.47 and 25,193.53 is: 54,052.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742.47 : 25,193.53 = 25,193.53 : x
  2. Step 2: Convert to fraction form
    11,742.47/25,193.53 = 25,193.53/x
  3. Step 3: Cross multiply
    11,742.47x = 25,193.53 × 25,193.53
  4. Step 4: Simplify right side
    11,742.47x = 634,714,016.84
  5. Step 5: Solve for x
    x = 634,714,016.84/11,742.47
  6. Step 6: Final answer
    x = 54,052.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.