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Finding the Third Proportional to 16,047.28 and 21,297.94

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Solution

The third proportional to 16,047.28 and 21,297.94 is: 28,266.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,047.28 : 21,297.94 = 21,297.94 : x
  2. Step 2: Convert to fraction form
    16,047.28/21,297.94 = 21,297.94/x
  3. Step 3: Cross multiply
    16,047.28x = 21,297.94 × 21,297.94
  4. Step 4: Simplify right side
    16,047.28x = 453,602,141.75
  5. Step 5: Solve for x
    x = 453,602,141.75/16,047.28
  6. Step 6: Final answer
    x = 28,266.60

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.