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Finding the Third Proportional to 1,003.32 and 2,114.86

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Solution

The third proportional to 1,003.32 and 2,114.86 is: 4,457.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.32 : 2,114.86 = 2,114.86 : x
  2. Step 2: Convert to fraction form
    1,003.32/2,114.86 = 2,114.86/x
  3. Step 3: Cross multiply
    1,003.32x = 2,114.86 × 2,114.86
  4. Step 4: Simplify right side
    1,003.32x = 4,472,630.18
  5. Step 5: Solve for x
    x = 4,472,630.18/1,003.32
  6. Step 6: Final answer
    x = 4,457.81

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.