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Finding the Third Proportional to 14,782 and 32,845

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Solution

The third proportional to 14,782 and 32,845 is: 72,980.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,782 : 32,845 = 32,845 : x
  2. Step 2: Convert to fraction form
    14,782/32,845 = 32,845/x
  3. Step 3: Cross multiply
    14,782x = 32,845 × 32,845
  4. Step 4: Simplify right side
    14,782x = 1,078,794,025
  5. Step 5: Solve for x
    x = 1,078,794,025/14,782
  6. Step 6: Final answer
    x = 72,980.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.