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Finding the Third Proportional to 2,663.63 and 3,967.88

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Solution

The third proportional to 2,663.63 and 3,967.88 is: 5,910.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.63 : 3,967.88 = 3,967.88 : x
  2. Step 2: Convert to fraction form
    2,663.63/3,967.88 = 3,967.88/x
  3. Step 3: Cross multiply
    2,663.63x = 3,967.88 × 3,967.88
  4. Step 4: Simplify right side
    2,663.63x = 15,744,032.02
  5. Step 5: Solve for x
    x = 15,744,032.02/2,663.63
  6. Step 6: Final answer
    x = 5,910.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.