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Finding the Third Proportional to 9,286 and 19,484

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Solution

The third proportional to 9,286 and 19,484 is: 40,881.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286 : 19,484 = 19,484 : x
  2. Step 2: Convert to fraction form
    9,286/19,484 = 19,484/x
  3. Step 3: Cross multiply
    9,286x = 19,484 × 19,484
  4. Step 4: Simplify right side
    9,286x = 379,626,256
  5. Step 5: Solve for x
    x = 379,626,256/9,286
  6. Step 6: Final answer
    x = 40,881.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.