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Finding the Third Proportional to 21,000.52 and 32,049.42

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Solution

The third proportional to 21,000.52 and 32,049.42 is: 48,911.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000.52 : 32,049.42 = 32,049.42 : x
  2. Step 2: Convert to fraction form
    21,000.52/32,049.42 = 32,049.42/x
  3. Step 3: Cross multiply
    21,000.52x = 32,049.42 × 32,049.42
  4. Step 4: Simplify right side
    21,000.52x = 1,027,165,442.52
  5. Step 5: Solve for x
    x = 1,027,165,442.52/21,000.52
  6. Step 6: Final answer
    x = 48,911.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.