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Finding the Third Proportional to 19,286 and 42,265

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Solution

The third proportional to 19,286 and 42,265 is: 92,623.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,286 : 42,265 = 42,265 : x
  2. Step 2: Convert to fraction form
    19,286/42,265 = 42,265/x
  3. Step 3: Cross multiply
    19,286x = 42,265 × 42,265
  4. Step 4: Simplify right side
    19,286x = 1,786,330,225
  5. Step 5: Solve for x
    x = 1,786,330,225/19,286
  6. Step 6: Final answer
    x = 92,623.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.