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Finding the Third Proportional to 29,186 and 45,349

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Solution

The third proportional to 29,186 and 45,349 is: 70,462.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,186 : 45,349 = 45,349 : x
  2. Step 2: Convert to fraction form
    29,186/45,349 = 45,349/x
  3. Step 3: Cross multiply
    29,186x = 45,349 × 45,349
  4. Step 4: Simplify right side
    29,186x = 2,056,531,801
  5. Step 5: Solve for x
    x = 2,056,531,801/29,186
  6. Step 6: Final answer
    x = 70,462.95

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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.