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Finding the Third Proportional to 16,304.25 and 24,492.38

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Solution

The third proportional to 16,304.25 and 24,492.38 is: 36,792.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,304.25 : 24,492.38 = 24,492.38 : x
  2. Step 2: Convert to fraction form
    16,304.25/24,492.38 = 24,492.38/x
  3. Step 3: Cross multiply
    16,304.25x = 24,492.38 × 24,492.38
  4. Step 4: Simplify right side
    16,304.25x = 599,876,433.14
  5. Step 5: Solve for x
    x = 599,876,433.14/16,304.25
  6. Step 6: Final answer
    x = 36,792.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.