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Finding the Third Proportional to 2,809.13 and 4,046.34

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Solution

The third proportional to 2,809.13 and 4,046.34 is: 5,828.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.13 : 4,046.34 = 4,046.34 : x
  2. Step 2: Convert to fraction form
    2,809.13/4,046.34 = 4,046.34/x
  3. Step 3: Cross multiply
    2,809.13x = 4,046.34 × 4,046.34
  4. Step 4: Simplify right side
    2,809.13x = 16,372,897.74
  5. Step 5: Solve for x
    x = 16,372,897.74/2,809.13
  6. Step 6: Final answer
    x = 5,828.47

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.