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Finding the Third Proportional to 7,005 and 10,846.50

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Solution

The third proportional to 7,005 and 10,846.50 is: 16,794.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005 : 10,846.50 = 10,846.50 : x
  2. Step 2: Convert to fraction form
    7,005/10,846.50 = 10,846.50/x
  3. Step 3: Cross multiply
    7,005x = 10,846.50 × 10,846.50
  4. Step 4: Simplify right side
    7,005x = 117,646,562.25
  5. Step 5: Solve for x
    x = 117,646,562.25/7,005
  6. Step 6: Final answer
    x = 16,794.66

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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.