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Finding the Third Proportional to 29,032 and 43,435

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Solution

The third proportional to 29,032 and 43,435 is: 64,983.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,032 : 43,435 = 43,435 : x
  2. Step 2: Convert to fraction form
    29,032/43,435 = 43,435/x
  3. Step 3: Cross multiply
    29,032x = 43,435 × 43,435
  4. Step 4: Simplify right side
    29,032x = 1,886,599,225
  5. Step 5: Solve for x
    x = 1,886,599,225/29,032
  6. Step 6: Final answer
    x = 64,983.44

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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.