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Finding the Third Proportional to 6,985 and 16,166.50

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Solution

The third proportional to 6,985 and 16,166.50 is: 37,416.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985 : 16,166.50 = 16,166.50 : x
  2. Step 2: Convert to fraction form
    6,985/16,166.50 = 16,166.50/x
  3. Step 3: Cross multiply
    6,985x = 16,166.50 × 16,166.50
  4. Step 4: Simplify right side
    6,985x = 261,355,722.25
  5. Step 5: Solve for x
    x = 261,355,722.25/6,985
  6. Step 6: Final answer
    x = 37,416.71

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.