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Finding the Third Proportional to 2,746.41 and 5,857.03

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Solution

The third proportional to 2,746.41 and 5,857.03 is: 12,490.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.41 : 5,857.03 = 5,857.03 : x
  2. Step 2: Convert to fraction form
    2,746.41/5,857.03 = 5,857.03/x
  3. Step 3: Cross multiply
    2,746.41x = 5,857.03 × 5,857.03
  4. Step 4: Simplify right side
    2,746.41x = 34,304,815.06
  5. Step 5: Solve for x
    x = 34,304,815.06/2,746.41
  6. Step 6: Final answer
    x = 12,490.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.