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Finding the Third Proportional to 16,092 and 24,863.63

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Solution

The third proportional to 16,092 and 24,863.63 is: 38,416.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,092 : 24,863.63 = 24,863.63 : x
  2. Step 2: Convert to fraction form
    16,092/24,863.63 = 24,863.63/x
  3. Step 3: Cross multiply
    16,092x = 24,863.63 × 24,863.63
  4. Step 4: Simplify right side
    16,092x = 618,199,848.14
  5. Step 5: Solve for x
    x = 618,199,848.14/16,092
  6. Step 6: Final answer
    x = 38,416.60

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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.