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Finding the Third Proportional to 13,820.91 and 21,245.34

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Solution

The third proportional to 13,820.91 and 21,245.34 is: 32,658.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.91 : 21,245.34 = 21,245.34 : x
  2. Step 2: Convert to fraction form
    13,820.91/21,245.34 = 21,245.34/x
  3. Step 3: Cross multiply
    13,820.91x = 21,245.34 × 21,245.34
  4. Step 4: Simplify right side
    13,820.91x = 451,364,631.06
  5. Step 5: Solve for x
    x = 451,364,631.06/13,820.91
  6. Step 6: Final answer
    x = 32,658.11

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