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Finding the Third Proportional to 22,984 and 36,006

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Solution

The third proportional to 22,984 and 36,006 is: 56,405.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,984 : 36,006 = 36,006 : x
  2. Step 2: Convert to fraction form
    22,984/36,006 = 36,006/x
  3. Step 3: Cross multiply
    22,984x = 36,006 × 36,006
  4. Step 4: Simplify right side
    22,984x = 1,296,432,036
  5. Step 5: Solve for x
    x = 1,296,432,036/22,984
  6. Step 6: Final answer
    x = 56,405.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.