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Finding the Third Proportional to 31,223 and 46,835

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Solution

The third proportional to 31,223 and 46,835 is: 70,253.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,223 : 46,835 = 46,835 : x
  2. Step 2: Convert to fraction form
    31,223/46,835 = 46,835/x
  3. Step 3: Cross multiply
    31,223x = 46,835 × 46,835
  4. Step 4: Simplify right side
    31,223x = 2,193,517,225
  5. Step 5: Solve for x
    x = 2,193,517,225/31,223
  6. Step 6: Final answer
    x = 70,253.25

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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.