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Finding the Third Proportional to 31,401 and 48,567.94

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Solution

The third proportional to 31,401 and 48,567.94 is: 75,120.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,401 : 48,567.94 = 48,567.94 : x
  2. Step 2: Convert to fraction form
    31,401/48,567.94 = 48,567.94/x
  3. Step 3: Cross multiply
    31,401x = 48,567.94 × 48,567.94
  4. Step 4: Simplify right side
    31,401x = 2,358,844,553.00
  5. Step 5: Solve for x
    x = 2,358,844,553.00/31,401
  6. Step 6: Final answer
    x = 75,120.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.