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Finding the Third Proportional to 31,031 and 47,950.50

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Solution

The third proportional to 31,031 and 47,950.50 is: 74,095.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,031 : 47,950.50 = 47,950.50 : x
  2. Step 2: Convert to fraction form
    31,031/47,950.50 = 47,950.50/x
  3. Step 3: Cross multiply
    31,031x = 47,950.50 × 47,950.50
  4. Step 4: Simplify right side
    31,031x = 2,299,250,450.25
  5. Step 5: Solve for x
    x = 2,299,250,450.25/31,031
  6. Step 6: Final answer
    x = 74,095.27

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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.