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Finding the Third Proportional to 3,055.54 and 6,617.00

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Solution

The third proportional to 3,055.54 and 6,617.00 is: 14,329.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.54 : 6,617.00 = 6,617.00 : x
  2. Step 2: Convert to fraction form
    3,055.54/6,617.00 = 6,617.00/x
  3. Step 3: Cross multiply
    3,055.54x = 6,617.00 × 6,617.00
  4. Step 4: Simplify right side
    3,055.54x = 43,784,740.70
  5. Step 5: Solve for x
    x = 43,784,740.70/3,055.54
  6. Step 6: Final answer
    x = 14,329.65

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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.