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Finding the Third Proportional to 23,811.75 and 37,671.75

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Solution

The third proportional to 23,811.75 and 37,671.75 is: 59,599.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,811.75 : 37,671.75 = 37,671.75 : x
  2. Step 2: Convert to fraction form
    23,811.75/37,671.75 = 37,671.75/x
  3. Step 3: Cross multiply
    23,811.75x = 37,671.75 × 37,671.75
  4. Step 4: Simplify right side
    23,811.75x = 1,419,160,748.06
  5. Step 5: Solve for x
    x = 1,419,160,748.06/23,811.75
  6. Step 6: Final answer
    x = 59,599.18

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.