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Finding the Third Proportional to 2,999.75 and 6,594.25

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Solution

The third proportional to 2,999.75 and 6,594.25 is: 14,495.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.75 : 6,594.25 = 6,594.25 : x
  2. Step 2: Convert to fraction form
    2,999.75/6,594.25 = 6,594.25/x
  3. Step 3: Cross multiply
    2,999.75x = 6,594.25 × 6,594.25
  4. Step 4: Simplify right side
    2,999.75x = 43,484,133.06
  5. Step 5: Solve for x
    x = 43,484,133.06/2,999.75
  6. Step 6: Final answer
    x = 14,495.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.