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Finding the Third Proportional to 9,298.13 and 13,967.44

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Solution

The third proportional to 9,298.13 and 13,967.44 is: 20,981.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.13 : 13,967.44 = 13,967.44 : x
  2. Step 2: Convert to fraction form
    9,298.13/13,967.44 = 13,967.44/x
  3. Step 3: Cross multiply
    9,298.13x = 13,967.44 × 13,967.44
  4. Step 4: Simplify right side
    9,298.13x = 195,089,310.32
  5. Step 5: Solve for x
    x = 195,089,310.32/9,298.13
  6. Step 6: Final answer
    x = 20,981.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.