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Finding the Third Proportional to 6,286.50 and 13,590

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Solution

The third proportional to 6,286.50 and 13,590 is: 29,378.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.50 : 13,590 = 13,590 : x
  2. Step 2: Convert to fraction form
    6,286.50/13,590 = 13,590/x
  3. Step 3: Cross multiply
    6,286.50x = 13,590 × 13,590
  4. Step 4: Simplify right side
    6,286.50x = 184,688,100
  5. Step 5: Solve for x
    x = 184,688,100/6,286.50
  6. Step 6: Final answer
    x = 29,378.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.