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Finding the Third Proportional to 5,985 and 16,285.50

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Solution

The third proportional to 5,985 and 16,285.50 is: 44,313.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985 : 16,285.50 = 16,285.50 : x
  2. Step 2: Convert to fraction form
    5,985/16,285.50 = 16,285.50/x
  3. Step 3: Cross multiply
    5,985x = 16,285.50 × 16,285.50
  4. Step 4: Simplify right side
    5,985x = 265,217,510.25
  5. Step 5: Solve for x
    x = 265,217,510.25/5,985
  6. Step 6: Final answer
    x = 44,313.70

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.