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Finding the Third Proportional to 31,753 and 47,473

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Solution

The third proportional to 31,753 and 47,473 is: 70,975.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,753 : 47,473 = 47,473 : x
  2. Step 2: Convert to fraction form
    31,753/47,473 = 47,473/x
  3. Step 3: Cross multiply
    31,753x = 47,473 × 47,473
  4. Step 4: Simplify right side
    31,753x = 2,253,685,729
  5. Step 5: Solve for x
    x = 2,253,685,729/31,753
  6. Step 6: Final answer
    x = 70,975.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.