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Finding the Third Proportional to 19,024 and 27,160

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Solution

The third proportional to 19,024 and 27,160 is: 38,775.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,024 : 27,160 = 27,160 : x
  2. Step 2: Convert to fraction form
    19,024/27,160 = 27,160/x
  3. Step 3: Cross multiply
    19,024x = 27,160 × 27,160
  4. Step 4: Simplify right side
    19,024x = 737,665,600
  5. Step 5: Solve for x
    x = 737,665,600/19,024
  6. Step 6: Final answer
    x = 38,775.53

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.