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Finding the Third Proportional to 9,705 and 13,651.50

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Solution

The third proportional to 9,705 and 13,651.50 is: 19,202.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705 : 13,651.50 = 13,651.50 : x
  2. Step 2: Convert to fraction form
    9,705/13,651.50 = 13,651.50/x
  3. Step 3: Cross multiply
    9,705x = 13,651.50 × 13,651.50
  4. Step 4: Simplify right side
    9,705x = 186,363,452.25
  5. Step 5: Solve for x
    x = 186,363,452.25/9,705
  6. Step 6: Final answer
    x = 19,202.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.