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Finding the Third Proportional to 25,965.56 and 42,395.34

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Solution

The third proportional to 25,965.56 and 42,395.34 is: 69,221.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,965.56 : 42,395.34 = 42,395.34 : x
  2. Step 2: Convert to fraction form
    25,965.56/42,395.34 = 42,395.34/x
  3. Step 3: Cross multiply
    25,965.56x = 42,395.34 × 42,395.34
  4. Step 4: Simplify right side
    25,965.56x = 1,797,365,171.68
  5. Step 5: Solve for x
    x = 1,797,365,171.68/25,965.56
  6. Step 6: Final answer
    x = 69,221.11

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.