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Finding the Third Proportional to 13,055 and 27,538

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Solution

The third proportional to 13,055 and 27,538 is: 58,088.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,055 : 27,538 = 27,538 : x
  2. Step 2: Convert to fraction form
    13,055/27,538 = 27,538/x
  3. Step 3: Cross multiply
    13,055x = 27,538 × 27,538
  4. Step 4: Simplify right side
    13,055x = 758,341,444
  5. Step 5: Solve for x
    x = 758,341,444/13,055
  6. Step 6: Final answer
    x = 58,088.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.