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Finding the Third Proportional to 9,683.44 and 14,344.88

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Solution

The third proportional to 9,683.44 and 14,344.88 is: 21,250.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.44 : 14,344.88 = 14,344.88 : x
  2. Step 2: Convert to fraction form
    9,683.44/14,344.88 = 14,344.88/x
  3. Step 3: Cross multiply
    9,683.44x = 14,344.88 × 14,344.88
  4. Step 4: Simplify right side
    9,683.44x = 205,775,438.77
  5. Step 5: Solve for x
    x = 205,775,438.77/9,683.44
  6. Step 6: Final answer
    x = 21,250.25

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.