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Finding the Third Proportional to 40,851 and 47,331

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Solution

The third proportional to 40,851 and 47,331 is: 54,838.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,851 : 47,331 = 47,331 : x
  2. Step 2: Convert to fraction form
    40,851/47,331 = 47,331/x
  3. Step 3: Cross multiply
    40,851x = 47,331 × 47,331
  4. Step 4: Simplify right side
    40,851x = 2,240,223,561
  5. Step 5: Solve for x
    x = 2,240,223,561/40,851
  6. Step 6: Final answer
    x = 54,838.89

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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.