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Finding the Third Proportional to 2,980.55 and 6,356.92

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Solution

The third proportional to 2,980.55 and 6,356.92 is: 13,558.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.55 : 6,356.92 = 6,356.92 : x
  2. Step 2: Convert to fraction form
    2,980.55/6,356.92 = 6,356.92/x
  3. Step 3: Cross multiply
    2,980.55x = 6,356.92 × 6,356.92
  4. Step 4: Simplify right side
    2,980.55x = 40,410,406.06
  5. Step 5: Solve for x
    x = 40,410,406.06/2,980.55
  6. Step 6: Final answer
    x = 13,558.05

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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.