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Finding the Third Proportional to 12,318 and 27,029

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Solution

The third proportional to 12,318 and 27,029 is: 59,308.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,318 : 27,029 = 27,029 : x
  2. Step 2: Convert to fraction form
    12,318/27,029 = 27,029/x
  3. Step 3: Cross multiply
    12,318x = 27,029 × 27,029
  4. Step 4: Simplify right side
    12,318x = 730,566,841
  5. Step 5: Solve for x
    x = 730,566,841/12,318
  6. Step 6: Final answer
    x = 59,308.88

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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.