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Finding the Third Proportional to 13,676.34 and 21,000.52

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Solution

The third proportional to 13,676.34 and 21,000.52 is: 32,247.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.34 : 21,000.52 = 21,000.52 : x
  2. Step 2: Convert to fraction form
    13,676.34/21,000.52 = 21,000.52/x
  3. Step 3: Cross multiply
    13,676.34x = 21,000.52 × 21,000.52
  4. Step 4: Simplify right side
    13,676.34x = 441,021,656.52
  5. Step 5: Solve for x
    x = 441,021,656.52/13,676.34
  6. Step 6: Final answer
    x = 32,247.04

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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.