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Finding the Third Proportional to 10,251.75 and 22,076.25

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Solution

The third proportional to 10,251.75 and 22,076.25 is: 47,539.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251.75 : 22,076.25 = 22,076.25 : x
  2. Step 2: Convert to fraction form
    10,251.75/22,076.25 = 22,076.25/x
  3. Step 3: Cross multiply
    10,251.75x = 22,076.25 × 22,076.25
  4. Step 4: Simplify right side
    10,251.75x = 487,360,814.06
  5. Step 5: Solve for x
    x = 487,360,814.06/10,251.75
  6. Step 6: Final answer
    x = 47,539.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.