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Finding the Third Proportional to 27,328.50 and 35,883

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Solution

The third proportional to 27,328.50 and 35,883 is: 47,115.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,328.50 : 35,883 = 35,883 : x
  2. Step 2: Convert to fraction form
    27,328.50/35,883 = 35,883/x
  3. Step 3: Cross multiply
    27,328.50x = 35,883 × 35,883
  4. Step 4: Simplify right side
    27,328.50x = 1,287,589,689
  5. Step 5: Solve for x
    x = 1,287,589,689/27,328.50
  6. Step 6: Final answer
    x = 47,115.27

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.