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Finding the Third Proportional to 29,983 and 45,051

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Solution

The third proportional to 29,983 and 45,051 is: 67,691.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,983 : 45,051 = 45,051 : x
  2. Step 2: Convert to fraction form
    29,983/45,051 = 45,051/x
  3. Step 3: Cross multiply
    29,983x = 45,051 × 45,051
  4. Step 4: Simplify right side
    29,983x = 2,029,592,601
  5. Step 5: Solve for x
    x = 2,029,592,601/29,983
  6. Step 6: Final answer
    x = 67,691.45

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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.