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Finding the Third Proportional to 2,235.09 and 4,777.31

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Solution

The third proportional to 2,235.09 and 4,777.31 is: 10,211.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.09 : 4,777.31 = 4,777.31 : x
  2. Step 2: Convert to fraction form
    2,235.09/4,777.31 = 4,777.31/x
  3. Step 3: Cross multiply
    2,235.09x = 4,777.31 × 4,777.31
  4. Step 4: Simplify right side
    2,235.09x = 22,822,714.72
  5. Step 5: Solve for x
    x = 22,822,714.72/2,235.09
  6. Step 6: Final answer
    x = 10,211.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.