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Finding the Third Proportional to 9,056.81 and 13,997.81

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Solution

The third proportional to 9,056.81 and 13,997.81 is: 21,634.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,056.81 : 13,997.81 = 13,997.81 : x
  2. Step 2: Convert to fraction form
    9,056.81/13,997.81 = 13,997.81/x
  3. Step 3: Cross multiply
    9,056.81x = 13,997.81 × 13,997.81
  4. Step 4: Simplify right side
    9,056.81x = 195,938,754.79
  5. Step 5: Solve for x
    x = 195,938,754.79/9,056.81
  6. Step 6: Final answer
    x = 21,634.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.