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Finding the Third Proportional to 30,764 and 41,340

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Solution

The third proportional to 30,764 and 41,340 is: 55,551.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,764 : 41,340 = 41,340 : x
  2. Step 2: Convert to fraction form
    30,764/41,340 = 41,340/x
  3. Step 3: Cross multiply
    30,764x = 41,340 × 41,340
  4. Step 4: Simplify right side
    30,764x = 1,708,995,600
  5. Step 5: Solve for x
    x = 1,708,995,600/30,764
  6. Step 6: Final answer
    x = 55,551.80

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.