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Finding the Third Proportional to 11,538 and 25,101

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Solution

The third proportional to 11,538 and 25,101 is: 54,607.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538 : 25,101 = 25,101 : x
  2. Step 2: Convert to fraction form
    11,538/25,101 = 25,101/x
  3. Step 3: Cross multiply
    11,538x = 25,101 × 25,101
  4. Step 4: Simplify right side
    11,538x = 630,060,201
  5. Step 5: Solve for x
    x = 630,060,201/11,538
  6. Step 6: Final answer
    x = 54,607.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.