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Finding the Third Proportional to 3,254.63 and 6,663.38

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Solution

The third proportional to 3,254.63 and 6,663.38 is: 13,642.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.63 : 6,663.38 = 6,663.38 : x
  2. Step 2: Convert to fraction form
    3,254.63/6,663.38 = 6,663.38/x
  3. Step 3: Cross multiply
    3,254.63x = 6,663.38 × 6,663.38
  4. Step 4: Simplify right side
    3,254.63x = 44,400,566.39
  5. Step 5: Solve for x
    x = 44,400,566.39/3,254.63
  6. Step 6: Final answer
    x = 13,642.30

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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.