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Finding the Third Proportional to 31,057 and 46,729.50

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Solution

The third proportional to 31,057 and 46,729.50 is: 70,310.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,057 : 46,729.50 = 46,729.50 : x
  2. Step 2: Convert to fraction form
    31,057/46,729.50 = 46,729.50/x
  3. Step 3: Cross multiply
    31,057x = 46,729.50 × 46,729.50
  4. Step 4: Simplify right side
    31,057x = 2,183,646,170.25
  5. Step 5: Solve for x
    x = 2,183,646,170.25/31,057
  6. Step 6: Final answer
    x = 70,310.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.