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Finding the Third Proportional to 28,844 and 42,150

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Solution

The third proportional to 28,844 and 42,150 is: 61,594.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,844 : 42,150 = 42,150 : x
  2. Step 2: Convert to fraction form
    28,844/42,150 = 42,150/x
  3. Step 3: Cross multiply
    28,844x = 42,150 × 42,150
  4. Step 4: Simplify right side
    28,844x = 1,776,622,500
  5. Step 5: Solve for x
    x = 1,776,622,500/28,844
  6. Step 6: Final answer
    x = 61,594.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.