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Finding the Third Proportional to 4,604.06 and 9,808.88

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Solution

The third proportional to 4,604.06 and 9,808.88 is: 20,897.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.06 : 9,808.88 = 9,808.88 : x
  2. Step 2: Convert to fraction form
    4,604.06/9,808.88 = 9,808.88/x
  3. Step 3: Cross multiply
    4,604.06x = 9,808.88 × 9,808.88
  4. Step 4: Simplify right side
    4,604.06x = 96,214,028.77
  5. Step 5: Solve for x
    x = 96,214,028.77/4,604.06
  6. Step 6: Final answer
    x = 20,897.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.