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Finding the Third Proportional to 29,592 and 47,073

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Solution

The third proportional to 29,592 and 47,073 is: 74,880.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,592 : 47,073 = 47,073 : x
  2. Step 2: Convert to fraction form
    29,592/47,073 = 47,073/x
  3. Step 3: Cross multiply
    29,592x = 47,073 × 47,073
  4. Step 4: Simplify right side
    29,592x = 2,215,867,329
  5. Step 5: Solve for x
    x = 2,215,867,329/29,592
  6. Step 6: Final answer
    x = 74,880.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.