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Finding the Third Proportional to 2,809.13 and 4,112.16

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Solution

The third proportional to 2,809.13 and 4,112.16 is: 6,019.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.13 : 4,112.16 = 4,112.16 : x
  2. Step 2: Convert to fraction form
    2,809.13/4,112.16 = 4,112.16/x
  3. Step 3: Cross multiply
    2,809.13x = 4,112.16 × 4,112.16
  4. Step 4: Simplify right side
    2,809.13x = 16,909,829.02
  5. Step 5: Solve for x
    x = 16,909,829.02/2,809.13
  6. Step 6: Final answer
    x = 6,019.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.