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Finding the Third Proportional to 25,701.05 and 59,494.29

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Solution

The third proportional to 25,701.05 and 59,494.29 is: 137,720.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,701.05 : 59,494.29 = 59,494.29 : x
  2. Step 2: Convert to fraction form
    25,701.05/59,494.29 = 59,494.29/x
  3. Step 3: Cross multiply
    25,701.05x = 59,494.29 × 59,494.29
  4. Step 4: Simplify right side
    25,701.05x = 3,539,570,431.05
  5. Step 5: Solve for x
    x = 3,539,570,431.05/25,701.05
  6. Step 6: Final answer
    x = 137,720.87

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.