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Finding the Third Proportional to 1,997.63 and 4,343.81

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Solution

The third proportional to 1,997.63 and 4,343.81 is: 9,445.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.63 : 4,343.81 = 4,343.81 : x
  2. Step 2: Convert to fraction form
    1,997.63/4,343.81 = 4,343.81/x
  3. Step 3: Cross multiply
    1,997.63x = 4,343.81 × 4,343.81
  4. Step 4: Simplify right side
    1,997.63x = 18,868,707.04
  5. Step 5: Solve for x
    x = 18,868,707.04/1,997.63
  6. Step 6: Final answer
    x = 9,445.57

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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.