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Finding the Third Proportional to 40,774.64 and 57,420.14

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Solution

The third proportional to 40,774.64 and 57,420.14 is: 80,860.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,774.64 : 57,420.14 = 57,420.14 : x
  2. Step 2: Convert to fraction form
    40,774.64/57,420.14 = 57,420.14/x
  3. Step 3: Cross multiply
    40,774.64x = 57,420.14 × 57,420.14
  4. Step 4: Simplify right side
    40,774.64x = 3,297,072,549.39
  5. Step 5: Solve for x
    x = 3,297,072,549.39/40,774.64
  6. Step 6: Final answer
    x = 80,860.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.