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Finding the Third Proportional to 31,210 and 46,767

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Solution

The third proportional to 31,210 and 46,767 is: 70,078.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,210 : 46,767 = 46,767 : x
  2. Step 2: Convert to fraction form
    31,210/46,767 = 46,767/x
  3. Step 3: Cross multiply
    31,210x = 46,767 × 46,767
  4. Step 4: Simplify right side
    31,210x = 2,187,152,289
  5. Step 5: Solve for x
    x = 2,187,152,289/31,210
  6. Step 6: Final answer
    x = 70,078.57

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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.