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Finding the Third Proportional to 32,900 and 44,598

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Solution

The third proportional to 32,900 and 44,598 is: 60,455.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,900 : 44,598 = 44,598 : x
  2. Step 2: Convert to fraction form
    32,900/44,598 = 44,598/x
  3. Step 3: Cross multiply
    32,900x = 44,598 × 44,598
  4. Step 4: Simplify right side
    32,900x = 1,988,981,604
  5. Step 5: Solve for x
    x = 1,988,981,604/32,900
  6. Step 6: Final answer
    x = 60,455.37

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.