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Finding the Third Proportional to 40,832 and 47,312

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Solution

The third proportional to 40,832 and 47,312 is: 54,820.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,832 : 47,312 = 47,312 : x
  2. Step 2: Convert to fraction form
    40,832/47,312 = 47,312/x
  3. Step 3: Cross multiply
    40,832x = 47,312 × 47,312
  4. Step 4: Simplify right side
    40,832x = 2,238,425,344
  5. Step 5: Solve for x
    x = 2,238,425,344/40,832
  6. Step 6: Final answer
    x = 54,820.37

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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.