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Finding the Third Proportional to 28,224 and 37,779

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Solution

The third proportional to 28,224 and 37,779 is: 50,568.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,224 : 37,779 = 37,779 : x
  2. Step 2: Convert to fraction form
    28,224/37,779 = 37,779/x
  3. Step 3: Cross multiply
    28,224x = 37,779 × 37,779
  4. Step 4: Simplify right side
    28,224x = 1,427,252,841
  5. Step 5: Solve for x
    x = 1,427,252,841/28,224
  6. Step 6: Final answer
    x = 50,568.77

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.