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Finding the Third Proportional to 14,783 and 32,847

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Solution

The third proportional to 14,783 and 32,847 is: 72,984.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,783 : 32,847 = 32,847 : x
  2. Step 2: Convert to fraction form
    14,783/32,847 = 32,847/x
  3. Step 3: Cross multiply
    14,783x = 32,847 × 32,847
  4. Step 4: Simplify right side
    14,783x = 1,078,925,409
  5. Step 5: Solve for x
    x = 1,078,925,409/14,783
  6. Step 6: Final answer
    x = 72,984.20

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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.