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Finding the Third Proportional to 23,946.09 and 52,037.16

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Solution

The third proportional to 23,946.09 and 52,037.16 is: 113,081.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,946.09 : 52,037.16 = 52,037.16 : x
  2. Step 2: Convert to fraction form
    23,946.09/52,037.16 = 52,037.16/x
  3. Step 3: Cross multiply
    23,946.09x = 52,037.16 × 52,037.16
  4. Step 4: Simplify right side
    23,946.09x = 2,707,865,630.59
  5. Step 5: Solve for x
    x = 2,707,865,630.59/23,946.09
  6. Step 6: Final answer
    x = 113,081.73

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.