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Finding the Third Proportional to 29,983 and 66,000

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Solution

The third proportional to 29,983 and 66,000 is: 145,282.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,983 : 66,000 = 66,000 : x
  2. Step 2: Convert to fraction form
    29,983/66,000 = 66,000/x
  3. Step 3: Cross multiply
    29,983x = 66,000 × 66,000
  4. Step 4: Simplify right side
    29,983x = 4,356,000,000
  5. Step 5: Solve for x
    x = 4,356,000,000/29,983
  6. Step 6: Final answer
    x = 145,282.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.