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Finding the Third Proportional to 12,765.09 and 19,810.83

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Solution

The third proportional to 12,765.09 and 19,810.83 is: 30,745.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.09 : 19,810.83 = 19,810.83 : x
  2. Step 2: Convert to fraction form
    12,765.09/19,810.83 = 19,810.83/x
  3. Step 3: Cross multiply
    12,765.09x = 19,810.83 × 19,810.83
  4. Step 4: Simplify right side
    12,765.09x = 392,468,911.00
  5. Step 5: Solve for x
    x = 392,468,911.00/12,765.09
  6. Step 6: Final answer
    x = 30,745.48

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.