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Finding the Third Proportional to 3,018.94 and 6,436.13

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Solution

The third proportional to 3,018.94 and 6,436.13 is: 13,721.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,018.94 : 6,436.13 = 6,436.13 : x
  2. Step 2: Convert to fraction form
    3,018.94/6,436.13 = 6,436.13/x
  3. Step 3: Cross multiply
    3,018.94x = 6,436.13 × 6,436.13
  4. Step 4: Simplify right side
    3,018.94x = 41,423,705.02
  5. Step 5: Solve for x
    x = 41,423,705.02/3,018.94
  6. Step 6: Final answer
    x = 13,721.29

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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.