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Finding the Third Proportional to 39,477 and 51,217.50

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Solution

The third proportional to 39,477 and 51,217.50 is: 66,449.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,477 : 51,217.50 = 51,217.50 : x
  2. Step 2: Convert to fraction form
    39,477/51,217.50 = 51,217.50/x
  3. Step 3: Cross multiply
    39,477x = 51,217.50 × 51,217.50
  4. Step 4: Simplify right side
    39,477x = 2,623,232,306.25
  5. Step 5: Solve for x
    x = 2,623,232,306.25/39,477
  6. Step 6: Final answer
    x = 66,449.64

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.