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Finding the Third Proportional to 31,286 and 46,970

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Solution

The third proportional to 31,286 and 46,970 is: 70,516.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,286 : 46,970 = 46,970 : x
  2. Step 2: Convert to fraction form
    31,286/46,970 = 46,970/x
  3. Step 3: Cross multiply
    31,286x = 46,970 × 46,970
  4. Step 4: Simplify right side
    31,286x = 2,206,180,900
  5. Step 5: Solve for x
    x = 2,206,180,900/31,286
  6. Step 6: Final answer
    x = 70,516.55

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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.