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Finding the Third Proportional to 5,432.06 and 11,447.79

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Solution

The third proportional to 5,432.06 and 11,447.79 is: 24,125.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,432.06 : 11,447.79 = 11,447.79 : x
  2. Step 2: Convert to fraction form
    5,432.06/11,447.79 = 11,447.79/x
  3. Step 3: Cross multiply
    5,432.06x = 11,447.79 × 11,447.79
  4. Step 4: Simplify right side
    5,432.06x = 131,051,874.42
  5. Step 5: Solve for x
    x = 131,051,874.42/5,432.06
  6. Step 6: Final answer
    x = 24,125.62

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.