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Finding the Third Proportional to 19,024 and 27,987

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Solution

The third proportional to 19,024 and 27,987 is: 41,172.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,024 : 27,987 = 27,987 : x
  2. Step 2: Convert to fraction form
    19,024/27,987 = 27,987/x
  3. Step 3: Cross multiply
    19,024x = 27,987 × 27,987
  4. Step 4: Simplify right side
    19,024x = 783,272,169
  5. Step 5: Solve for x
    x = 783,272,169/19,024
  6. Step 6: Final answer
    x = 41,172.84

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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.