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Finding the Third Proportional to 24,658.21 and 37,376.56

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Solution

The third proportional to 24,658.21 and 37,376.56 is: 56,654.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,658.21 : 37,376.56 = 37,376.56 : x
  2. Step 2: Convert to fraction form
    24,658.21/37,376.56 = 37,376.56/x
  3. Step 3: Cross multiply
    24,658.21x = 37,376.56 × 37,376.56
  4. Step 4: Simplify right side
    24,658.21x = 1,397,006,949.81
  5. Step 5: Solve for x
    x = 1,397,006,949.81/24,658.21
  6. Step 6: Final answer
    x = 56,654.84

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.