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Finding the Third Proportional to 13,013 and 27,646

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Solution

The third proportional to 13,013 and 27,646 is: 58,733.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013 : 27,646 = 27,646 : x
  2. Step 2: Convert to fraction form
    13,013/27,646 = 27,646/x
  3. Step 3: Cross multiply
    13,013x = 27,646 × 27,646
  4. Step 4: Simplify right side
    13,013x = 764,301,316
  5. Step 5: Solve for x
    x = 764,301,316/13,013
  6. Step 6: Final answer
    x = 58,733.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.