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Finding the Third Proportional to 29,573 and 45,817

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Solution

The third proportional to 29,573 and 45,817 is: 70,983.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,573 : 45,817 = 45,817 : x
  2. Step 2: Convert to fraction form
    29,573/45,817 = 45,817/x
  3. Step 3: Cross multiply
    29,573x = 45,817 × 45,817
  4. Step 4: Simplify right side
    29,573x = 2,099,197,489
  5. Step 5: Solve for x
    x = 2,099,197,489/29,573
  6. Step 6: Final answer
    x = 70,983.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.