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Finding the Third Proportional to 29,962 and 47,000

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Solution

The third proportional to 29,962 and 47,000 is: 73,726.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,962 : 47,000 = 47,000 : x
  2. Step 2: Convert to fraction form
    29,962/47,000 = 47,000/x
  3. Step 3: Cross multiply
    29,962x = 47,000 × 47,000
  4. Step 4: Simplify right side
    29,962x = 2,209,000,000
  5. Step 5: Solve for x
    x = 2,209,000,000/29,962
  6. Step 6: Final answer
    x = 73,726.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.