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Finding the Third Proportional to 19,080 and 27,991

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Solution

The third proportional to 19,080 and 27,991 is: 41,063.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,080 : 27,991 = 27,991 : x
  2. Step 2: Convert to fraction form
    19,080/27,991 = 27,991/x
  3. Step 3: Cross multiply
    19,080x = 27,991 × 27,991
  4. Step 4: Simplify right side
    19,080x = 783,496,081
  5. Step 5: Solve for x
    x = 783,496,081/19,080
  6. Step 6: Final answer
    x = 41,063.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.