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Finding the Third Proportional to 25,226.44 and 59,465.39

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Solution

The third proportional to 25,226.44 and 59,465.39 is: 140,175.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,226.44 : 59,465.39 = 59,465.39 : x
  2. Step 2: Convert to fraction form
    25,226.44/59,465.39 = 59,465.39/x
  3. Step 3: Cross multiply
    25,226.44x = 59,465.39 × 59,465.39
  4. Step 4: Simplify right side
    25,226.44x = 3,536,132,682.18
  5. Step 5: Solve for x
    x = 3,536,132,682.18/25,226.44
  6. Step 6: Final answer
    x = 140,175.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.