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Finding the Third Proportional to 31,052 and 46,880

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Solution

The third proportional to 31,052 and 46,880 is: 70,775.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,052 : 46,880 = 46,880 : x
  2. Step 2: Convert to fraction form
    31,052/46,880 = 46,880/x
  3. Step 3: Cross multiply
    31,052x = 46,880 × 46,880
  4. Step 4: Simplify right side
    31,052x = 2,197,734,400
  5. Step 5: Solve for x
    x = 2,197,734,400/31,052
  6. Step 6: Final answer
    x = 70,775.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.