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Finding the Third Proportional to 9,705 and 13,993.50

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Solution

The third proportional to 9,705 and 13,993.50 is: 20,177.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705 : 13,993.50 = 13,993.50 : x
  2. Step 2: Convert to fraction form
    9,705/13,993.50 = 13,993.50/x
  3. Step 3: Cross multiply
    9,705x = 13,993.50 × 13,993.50
  4. Step 4: Simplify right side
    9,705x = 195,818,042.25
  5. Step 5: Solve for x
    x = 195,818,042.25/9,705
  6. Step 6: Final answer
    x = 20,177.03

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.