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Finding the Third Proportional to 28,834 and 36,842

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Solution

The third proportional to 28,834 and 36,842 is: 47,074.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,834 : 36,842 = 36,842 : x
  2. Step 2: Convert to fraction form
    28,834/36,842 = 36,842/x
  3. Step 3: Cross multiply
    28,834x = 36,842 × 36,842
  4. Step 4: Simplify right side
    28,834x = 1,357,332,964
  5. Step 5: Solve for x
    x = 1,357,332,964/28,834
  6. Step 6: Final answer
    x = 47,074.04

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.