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Finding the Third Proportional to 4,152.24 and 8,996.46

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Solution

The third proportional to 4,152.24 and 8,996.46 is: 19,492.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.24 : 8,996.46 = 8,996.46 : x
  2. Step 2: Convert to fraction form
    4,152.24/8,996.46 = 8,996.46/x
  3. Step 3: Cross multiply
    4,152.24x = 8,996.46 × 8,996.46
  4. Step 4: Simplify right side
    4,152.24x = 80,936,256.69
  5. Step 5: Solve for x
    x = 80,936,256.69/4,152.24
  6. Step 6: Final answer
    x = 19,492.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.