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Finding the Third Proportional to 4,492.97 and 8,145.56

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Solution

The third proportional to 4,492.97 and 8,145.56 is: 14,767.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.97 : 8,145.56 = 8,145.56 : x
  2. Step 2: Convert to fraction form
    4,492.97/8,145.56 = 8,145.56/x
  3. Step 3: Cross multiply
    4,492.97x = 8,145.56 × 8,145.56
  4. Step 4: Simplify right side
    4,492.97x = 66,350,188.44
  5. Step 5: Solve for x
    x = 66,350,188.44/4,492.97
  6. Step 6: Final answer
    x = 14,767.56

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.