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Finding the Third Proportional to 15,857.44 and 24,381.84

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Solution

The third proportional to 15,857.44 and 24,381.84 is: 37,488.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857.44 : 24,381.84 = 24,381.84 : x
  2. Step 2: Convert to fraction form
    15,857.44/24,381.84 = 24,381.84/x
  3. Step 3: Cross multiply
    15,857.44x = 24,381.84 × 24,381.84
  4. Step 4: Simplify right side
    15,857.44x = 594,474,304.65
  5. Step 5: Solve for x
    x = 594,474,304.65/15,857.44
  6. Step 6: Final answer
    x = 37,488.67

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.