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Finding the Third Proportional to 10,016.16 and 22,052.25

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Solution

The third proportional to 10,016.16 and 22,052.25 is: 48,551.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016.16 : 22,052.25 = 22,052.25 : x
  2. Step 2: Convert to fraction form
    10,016.16/22,052.25 = 22,052.25/x
  3. Step 3: Cross multiply
    10,016.16x = 22,052.25 × 22,052.25
  4. Step 4: Simplify right side
    10,016.16x = 486,301,730.06
  5. Step 5: Solve for x
    x = 486,301,730.06/10,016.16
  6. Step 6: Final answer
    x = 48,551.73

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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.