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Finding the Third Proportional to 10,455.75 and 25,288.50

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Solution

The third proportional to 10,455.75 and 25,288.50 is: 61,163.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.75 : 25,288.50 = 25,288.50 : x
  2. Step 2: Convert to fraction form
    10,455.75/25,288.50 = 25,288.50/x
  3. Step 3: Cross multiply
    10,455.75x = 25,288.50 × 25,288.50
  4. Step 4: Simplify right side
    10,455.75x = 639,508,232.25
  5. Step 5: Solve for x
    x = 639,508,232.25/10,455.75
  6. Step 6: Final answer
    x = 61,163.31

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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.