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Finding the Third Proportional to 12,187.13 and 30,736.13

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Solution

The third proportional to 12,187.13 and 30,736.13 is: 77,517.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.13 : 30,736.13 = 30,736.13 : x
  2. Step 2: Convert to fraction form
    12,187.13/30,736.13 = 30,736.13/x
  3. Step 3: Cross multiply
    12,187.13x = 30,736.13 × 30,736.13
  4. Step 4: Simplify right side
    12,187.13x = 944,709,380.02
  5. Step 5: Solve for x
    x = 944,709,380.02/12,187.13
  6. Step 6: Final answer
    x = 77,517.00

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Why These Related Problems?

These problems maintain the same ratio (2.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.