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Finding the Third Proportional to 12,739.13 and 27,969

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Solution

The third proportional to 12,739.13 and 27,969 is: 61,406.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,739.13 : 27,969 = 27,969 : x
  2. Step 2: Convert to fraction form
    12,739.13/27,969 = 27,969/x
  3. Step 3: Cross multiply
    12,739.13x = 27,969 × 27,969
  4. Step 4: Simplify right side
    12,739.13x = 782,264,961
  5. Step 5: Solve for x
    x = 782,264,961/12,739.13
  6. Step 6: Final answer
    x = 61,406.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.