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Finding the Third Proportional to 9,582 and 18,894

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Solution

The third proportional to 9,582 and 18,894 is: 37,255.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582 : 18,894 = 18,894 : x
  2. Step 2: Convert to fraction form
    9,582/18,894 = 18,894/x
  3. Step 3: Cross multiply
    9,582x = 18,894 × 18,894
  4. Step 4: Simplify right side
    9,582x = 356,983,236
  5. Step 5: Solve for x
    x = 356,983,236/9,582
  6. Step 6: Final answer
    x = 37,255.61

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.