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Finding the Third Proportional to 16,100.86 and 23,684.91

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Solution

The third proportional to 16,100.86 and 23,684.91 is: 34,841.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,100.86 : 23,684.91 = 23,684.91 : x
  2. Step 2: Convert to fraction form
    16,100.86/23,684.91 = 23,684.91/x
  3. Step 3: Cross multiply
    16,100.86x = 23,684.91 × 23,684.91
  4. Step 4: Simplify right side
    16,100.86x = 560,974,784.07
  5. Step 5: Solve for x
    x = 560,974,784.07/16,100.86
  6. Step 6: Final answer
    x = 34,841.29

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.