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Finding the Third Proportional to 2,980.83 and 6,474.23

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Solution

The third proportional to 2,980.83 and 6,474.23 is: 14,061.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.83 : 6,474.23 = 6,474.23 : x
  2. Step 2: Convert to fraction form
    2,980.83/6,474.23 = 6,474.23/x
  3. Step 3: Cross multiply
    2,980.83x = 6,474.23 × 6,474.23
  4. Step 4: Simplify right side
    2,980.83x = 41,915,710.74
  5. Step 5: Solve for x
    x = 41,915,710.74/2,980.83
  6. Step 6: Final answer
    x = 14,061.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.