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Finding the Third Proportional to 9,776.25 and 23,627.25

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Solution

The third proportional to 9,776.25 and 23,627.25 is: 57,102.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.25 : 23,627.25 = 23,627.25 : x
  2. Step 2: Convert to fraction form
    9,776.25/23,627.25 = 23,627.25/x
  3. Step 3: Cross multiply
    9,776.25x = 23,627.25 × 23,627.25
  4. Step 4: Simplify right side
    9,776.25x = 558,246,942.56
  5. Step 5: Solve for x
    x = 558,246,942.56/9,776.25
  6. Step 6: Final answer
    x = 57,102.36

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.