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Finding the Third Proportional to 4,203.14 and 6,714.77

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Solution

The third proportional to 4,203.14 and 6,714.77 is: 10,727.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.14 : 6,714.77 = 6,714.77 : x
  2. Step 2: Convert to fraction form
    4,203.14/6,714.77 = 6,714.77/x
  3. Step 3: Cross multiply
    4,203.14x = 6,714.77 × 6,714.77
  4. Step 4: Simplify right side
    4,203.14x = 45,088,182.32
  5. Step 5: Solve for x
    x = 45,088,182.32/4,203.14
  6. Step 6: Final answer
    x = 10,727.26

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.