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Finding the Third Proportional to 16,133.25 and 24,922.13

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Solution

The third proportional to 16,133.25 and 24,922.13 is: 38,498.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,133.25 : 24,922.13 = 24,922.13 : x
  2. Step 2: Convert to fraction form
    16,133.25/24,922.13 = 24,922.13/x
  3. Step 3: Cross multiply
    16,133.25x = 24,922.13 × 24,922.13
  4. Step 4: Simplify right side
    16,133.25x = 621,112,314.52
  5. Step 5: Solve for x
    x = 621,112,314.52/16,133.25
  6. Step 6: Final answer
    x = 38,498.90

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.