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Finding the Third Proportional to 15,741.84 and 24,373.41

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Solution

The third proportional to 15,741.84 and 24,373.41 is: 37,737.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,741.84 : 24,373.41 = 24,373.41 : x
  2. Step 2: Convert to fraction form
    15,741.84/24,373.41 = 24,373.41/x
  3. Step 3: Cross multiply
    15,741.84x = 24,373.41 × 24,373.41
  4. Step 4: Simplify right side
    15,741.84x = 594,062,932.23
  5. Step 5: Solve for x
    x = 594,062,932.23/15,741.84
  6. Step 6: Final answer
    x = 37,737.82

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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.