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Finding the Third Proportional to 6,555.23 and 10,385.09

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Solution

The third proportional to 6,555.23 and 10,385.09 is: 16,452.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555.23 : 10,385.09 = 10,385.09 : x
  2. Step 2: Convert to fraction form
    6,555.23/10,385.09 = 10,385.09/x
  3. Step 3: Cross multiply
    6,555.23x = 10,385.09 × 10,385.09
  4. Step 4: Simplify right side
    6,555.23x = 107,850,009.93
  5. Step 5: Solve for x
    x = 107,850,009.93/6,555.23
  6. Step 6: Final answer
    x = 16,452.50

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.