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Finding the Third Proportional to 1,997.16 and 4,358.81

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Solution

The third proportional to 1,997.16 and 4,358.81 is: 9,513.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.16 : 4,358.81 = 4,358.81 : x
  2. Step 2: Convert to fraction form
    1,997.16/4,358.81 = 4,358.81/x
  3. Step 3: Cross multiply
    1,997.16x = 4,358.81 × 4,358.81
  4. Step 4: Simplify right side
    1,997.16x = 18,999,246.41
  5. Step 5: Solve for x
    x = 18,999,246.41/1,997.16
  6. Step 6: Final answer
    x = 9,513.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.