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Finding the Third Proportional to 29,156 and 44,598

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Solution

The third proportional to 29,156 and 44,598 is: 68,218.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,156 : 44,598 = 44,598 : x
  2. Step 2: Convert to fraction form
    29,156/44,598 = 44,598/x
  3. Step 3: Cross multiply
    29,156x = 44,598 × 44,598
  4. Step 4: Simplify right side
    29,156x = 1,988,981,604
  5. Step 5: Solve for x
    x = 1,988,981,604/29,156
  6. Step 6: Final answer
    x = 68,218.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.