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Finding the Third Proportional to 24,273.42 and 37,671.64

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Solution

The third proportional to 24,273.42 and 37,671.64 is: 58,465.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,273.42 : 37,671.64 = 37,671.64 : x
  2. Step 2: Convert to fraction form
    24,273.42/37,671.64 = 37,671.64/x
  3. Step 3: Cross multiply
    24,273.42x = 37,671.64 × 37,671.64
  4. Step 4: Simplify right side
    24,273.42x = 1,419,152,801.69
  5. Step 5: Solve for x
    x = 1,419,152,801.69/24,273.42
  6. Step 6: Final answer
    x = 58,465.30

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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.