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Finding the Third Proportional to 19,080 and 27,753.75

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Solution

The third proportional to 19,080 and 27,753.75 is: 40,370.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,080 : 27,753.75 = 27,753.75 : x
  2. Step 2: Convert to fraction form
    19,080/27,753.75 = 27,753.75/x
  3. Step 3: Cross multiply
    19,080x = 27,753.75 × 27,753.75
  4. Step 4: Simplify right side
    19,080x = 770,270,639.06
  5. Step 5: Solve for x
    x = 770,270,639.06/19,080
  6. Step 6: Final answer
    x = 40,370.58

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.