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Finding the Third Proportional to 4,020.53 and 8,649.76

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Solution

The third proportional to 4,020.53 and 8,649.76 is: 18,609.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,020.53 : 8,649.76 = 8,649.76 : x
  2. Step 2: Convert to fraction form
    4,020.53/8,649.76 = 8,649.76/x
  3. Step 3: Cross multiply
    4,020.53x = 8,649.76 × 8,649.76
  4. Step 4: Simplify right side
    4,020.53x = 74,818,276.43
  5. Step 5: Solve for x
    x = 74,818,276.43/4,020.53
  6. Step 6: Final answer
    x = 18,609.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.