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Finding the Third Proportional to 31,208 and 46,764

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Solution

The third proportional to 31,208 and 46,764 is: 70,074.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,208 : 46,764 = 46,764 : x
  2. Step 2: Convert to fraction form
    31,208/46,764 = 46,764/x
  3. Step 3: Cross multiply
    31,208x = 46,764 × 46,764
  4. Step 4: Simplify right side
    31,208x = 2,186,871,696
  5. Step 5: Solve for x
    x = 2,186,871,696/31,208
  6. Step 6: Final answer
    x = 70,074.07

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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.