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Finding the Third Proportional to 16,015.88 and 23,893.13

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Solution

The third proportional to 16,015.88 and 23,893.13 is: 35,644.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,015.88 : 23,893.13 = 23,893.13 : x
  2. Step 2: Convert to fraction form
    16,015.88/23,893.13 = 23,893.13/x
  3. Step 3: Cross multiply
    16,015.88x = 23,893.13 × 23,893.13
  4. Step 4: Simplify right side
    16,015.88x = 570,881,422.27
  5. Step 5: Solve for x
    x = 570,881,422.27/16,015.88
  6. Step 6: Final answer
    x = 35,644.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.