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Finding the Third Proportional to 22,565.25 and 47,459.25

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Solution

The third proportional to 22,565.25 and 47,459.25 is: 99,816.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,565.25 : 47,459.25 = 47,459.25 : x
  2. Step 2: Convert to fraction form
    22,565.25/47,459.25 = 47,459.25/x
  3. Step 3: Cross multiply
    22,565.25x = 47,459.25 × 47,459.25
  4. Step 4: Simplify right side
    22,565.25x = 2,252,380,410.56
  5. Step 5: Solve for x
    x = 2,252,380,410.56/22,565.25
  6. Step 6: Final answer
    x = 99,816.33

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.