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Finding the Third Proportional to 19,454 and 41,574

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Solution

The third proportional to 19,454 and 41,574 is: 88,845.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,454 : 41,574 = 41,574 : x
  2. Step 2: Convert to fraction form
    19,454/41,574 = 41,574/x
  3. Step 3: Cross multiply
    19,454x = 41,574 × 41,574
  4. Step 4: Simplify right side
    19,454x = 1,728,397,476
  5. Step 5: Solve for x
    x = 1,728,397,476/19,454
  6. Step 6: Final answer
    x = 88,845.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.