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Finding the Third Proportional to 6,469.50 and 12,358.50

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Solution

The third proportional to 6,469.50 and 12,358.50 is: 23,608.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.50 : 12,358.50 = 12,358.50 : x
  2. Step 2: Convert to fraction form
    6,469.50/12,358.50 = 12,358.50/x
  3. Step 3: Cross multiply
    6,469.50x = 12,358.50 × 12,358.50
  4. Step 4: Simplify right side
    6,469.50x = 152,732,522.25
  5. Step 5: Solve for x
    x = 152,732,522.25/6,469.50
  6. Step 6: Final answer
    x = 23,608.09

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.