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Finding the Third Proportional to 12,997.13 and 30,359.81

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Solution

The third proportional to 12,997.13 and 30,359.81 is: 70,917.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,997.13 : 30,359.81 = 30,359.81 : x
  2. Step 2: Convert to fraction form
    12,997.13/30,359.81 = 30,359.81/x
  3. Step 3: Cross multiply
    12,997.13x = 30,359.81 × 30,359.81
  4. Step 4: Simplify right side
    12,997.13x = 921,718,215.04
  5. Step 5: Solve for x
    x = 921,718,215.04/12,997.13
  6. Step 6: Final answer
    x = 70,917.08

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.