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Finding the Third Proportional to 40,851 and 62,464.50

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Solution

The third proportional to 40,851 and 62,464.50 is: 95,513.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,851 : 62,464.50 = 62,464.50 : x
  2. Step 2: Convert to fraction form
    40,851/62,464.50 = 62,464.50/x
  3. Step 3: Cross multiply
    40,851x = 62,464.50 × 62,464.50
  4. Step 4: Simplify right side
    40,851x = 3,901,813,760.25
  5. Step 5: Solve for x
    x = 3,901,813,760.25/40,851
  6. Step 6: Final answer
    x = 95,513.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.