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Finding the Third Proportional to 5,859 and 13,378.50

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Solution

The third proportional to 5,859 and 13,378.50 is: 30,548.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859 : 13,378.50 = 13,378.50 : x
  2. Step 2: Convert to fraction form
    5,859/13,378.50 = 13,378.50/x
  3. Step 3: Cross multiply
    5,859x = 13,378.50 × 13,378.50
  4. Step 4: Simplify right side
    5,859x = 178,984,262.25
  5. Step 5: Solve for x
    x = 178,984,262.25/5,859
  6. Step 6: Final answer
    x = 30,548.60

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.