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Finding the Third Proportional to 29,965 and 47,003

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Solution

The third proportional to 29,965 and 47,003 is: 73,728.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,965 : 47,003 = 47,003 : x
  2. Step 2: Convert to fraction form
    29,965/47,003 = 47,003/x
  3. Step 3: Cross multiply
    29,965x = 47,003 × 47,003
  4. Step 4: Simplify right side
    29,965x = 2,209,282,009
  5. Step 5: Solve for x
    x = 2,209,282,009/29,965
  6. Step 6: Final answer
    x = 73,728.75

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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.