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Finding the Third Proportional to 21,344.06 and 32,084.86

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Solution

The third proportional to 21,344.06 and 32,084.86 is: 48,230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,344.06 : 32,084.86 = 32,084.86 : x
  2. Step 2: Convert to fraction form
    21,344.06/32,084.86 = 32,084.86/x
  3. Step 3: Cross multiply
    21,344.06x = 32,084.86 × 32,084.86
  4. Step 4: Simplify right side
    21,344.06x = 1,029,438,201.11
  5. Step 5: Solve for x
    x = 1,029,438,201.11/21,344.06
  6. Step 6: Final answer
    x = 48,230.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.