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Finding the Third Proportional to 9,847.41 and 14,347.97

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Solution

The third proportional to 9,847.41 and 14,347.97 is: 20,905.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.41 : 14,347.97 = 14,347.97 : x
  2. Step 2: Convert to fraction form
    9,847.41/14,347.97 = 14,347.97/x
  3. Step 3: Cross multiply
    9,847.41x = 14,347.97 × 14,347.97
  4. Step 4: Simplify right side
    9,847.41x = 205,864,207.25
  5. Step 5: Solve for x
    x = 205,864,207.25/9,847.41
  6. Step 6: Final answer
    x = 20,905.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.