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Finding the Third Proportional to 13,794.76 and 21,214.33

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Solution

The third proportional to 13,794.76 and 21,214.33 is: 32,624.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.76 : 21,214.33 = 21,214.33 : x
  2. Step 2: Convert to fraction form
    13,794.76/21,214.33 = 21,214.33/x
  3. Step 3: Cross multiply
    13,794.76x = 21,214.33 × 21,214.33
  4. Step 4: Simplify right side
    13,794.76x = 450,047,676.36
  5. Step 5: Solve for x
    x = 450,047,676.36/13,794.76
  6. Step 6: Final answer
    x = 32,624.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.