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Finding the Third Proportional to 21,983.91 and 53,137.27

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Solution

The third proportional to 21,983.91 and 53,137.27 is: 128,438.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,983.91 : 53,137.27 = 53,137.27 : x
  2. Step 2: Convert to fraction form
    21,983.91/53,137.27 = 53,137.27/x
  3. Step 3: Cross multiply
    21,983.91x = 53,137.27 × 53,137.27
  4. Step 4: Simplify right side
    21,983.91x = 2,823,568,998.10
  5. Step 5: Solve for x
    x = 2,823,568,998.10/21,983.91
  6. Step 6: Final answer
    x = 128,438.00

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.