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Finding the Third Proportional to 3,365.06 and 6,898.03

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Solution

The third proportional to 3,365.06 and 6,898.03 is: 14,140.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.06 : 6,898.03 = 6,898.03 : x
  2. Step 2: Convert to fraction form
    3,365.06/6,898.03 = 6,898.03/x
  3. Step 3: Cross multiply
    3,365.06x = 6,898.03 × 6,898.03
  4. Step 4: Simplify right side
    3,365.06x = 47,582,835.13
  5. Step 5: Solve for x
    x = 47,582,835.13/3,365.06
  6. Step 6: Final answer
    x = 14,140.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.