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Finding the Third Proportional to 40,850 and 47,330

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Solution

The third proportional to 40,850 and 47,330 is: 54,837.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,850 : 47,330 = 47,330 : x
  2. Step 2: Convert to fraction form
    40,850/47,330 = 47,330/x
  3. Step 3: Cross multiply
    40,850x = 47,330 × 47,330
  4. Step 4: Simplify right side
    40,850x = 2,240,128,900
  5. Step 5: Solve for x
    x = 2,240,128,900/40,850
  6. Step 6: Final answer
    x = 54,837.92

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.