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Finding the Third Proportional to 11,538 and 25,248

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Solution

The third proportional to 11,538 and 25,248 is: 55,248.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538 : 25,248 = 25,248 : x
  2. Step 2: Convert to fraction form
    11,538/25,248 = 25,248/x
  3. Step 3: Cross multiply
    11,538x = 25,248 × 25,248
  4. Step 4: Simplify right side
    11,538x = 637,461,504
  5. Step 5: Solve for x
    x = 637,461,504/11,538
  6. Step 6: Final answer
    x = 55,248.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.