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Finding the Third Proportional to 10,052.44 and 22,087.69

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Solution

The third proportional to 10,052.44 and 22,087.69 is: 48,532.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052.44 : 22,087.69 = 22,087.69 : x
  2. Step 2: Convert to fraction form
    10,052.44/22,087.69 = 22,087.69/x
  3. Step 3: Cross multiply
    10,052.44x = 22,087.69 × 22,087.69
  4. Step 4: Simplify right side
    10,052.44x = 487,865,939.10
  5. Step 5: Solve for x
    x = 487,865,939.10/10,052.44
  6. Step 6: Final answer
    x = 48,532.10

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.