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Finding the Third Proportional to 11,637.14 and 25,118.86

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Solution

The third proportional to 11,637.14 and 25,118.86 is: 54,219.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,637.14 : 25,118.86 = 25,118.86 : x
  2. Step 2: Convert to fraction form
    11,637.14/25,118.86 = 25,118.86/x
  3. Step 3: Cross multiply
    11,637.14x = 25,118.86 × 25,118.86
  4. Step 4: Simplify right side
    11,637.14x = 630,957,096.30
  5. Step 5: Solve for x
    x = 630,957,096.30/11,637.14
  6. Step 6: Final answer
    x = 54,219.26

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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.