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Finding the Third Proportional to 19,024 and 41,304

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Solution

The third proportional to 19,024 and 41,304 is: 89,677.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,024 : 41,304 = 41,304 : x
  2. Step 2: Convert to fraction form
    19,024/41,304 = 41,304/x
  3. Step 3: Cross multiply
    19,024x = 41,304 × 41,304
  4. Step 4: Simplify right side
    19,024x = 1,706,020,416
  5. Step 5: Solve for x
    x = 1,706,020,416/19,024
  6. Step 6: Final answer
    x = 89,677.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.