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Finding the Third Proportional to 15,624.94 and 24,200.25

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Solution

The third proportional to 15,624.94 and 24,200.25 is: 37,481.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,624.94 : 24,200.25 = 24,200.25 : x
  2. Step 2: Convert to fraction form
    15,624.94/24,200.25 = 24,200.25/x
  3. Step 3: Cross multiply
    15,624.94x = 24,200.25 × 24,200.25
  4. Step 4: Simplify right side
    15,624.94x = 585,652,100.06
  5. Step 5: Solve for x
    x = 585,652,100.06/15,624.94
  6. Step 6: Final answer
    x = 37,481.88

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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.