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Finding the Third Proportional to 12,774.38 and 27,070.88

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Solution

The third proportional to 12,774.38 and 27,070.88 is: 57,367.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.38 : 27,070.88 = 27,070.88 : x
  2. Step 2: Convert to fraction form
    12,774.38/27,070.88 = 27,070.88/x
  3. Step 3: Cross multiply
    12,774.38x = 27,070.88 × 27,070.88
  4. Step 4: Simplify right side
    12,774.38x = 732,832,273.27
  5. Step 5: Solve for x
    x = 732,832,273.27/12,774.38
  6. Step 6: Final answer
    x = 57,367.37

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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.