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Finding the Third Proportional to 17,820 and 28,028.25

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Solution

The third proportional to 17,820 and 28,028.25 is: 44,084.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,820 : 28,028.25 = 28,028.25 : x
  2. Step 2: Convert to fraction form
    17,820/28,028.25 = 28,028.25/x
  3. Step 3: Cross multiply
    17,820x = 28,028.25 × 28,028.25
  4. Step 4: Simplify right side
    17,820x = 785,582,798.06
  5. Step 5: Solve for x
    x = 785,582,798.06/17,820
  6. Step 6: Final answer
    x = 44,084.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.