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Finding the Third Proportional to 19,436 and 42,104

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Solution

The third proportional to 19,436 and 42,104 is: 91,209.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,436 : 42,104 = 42,104 : x
  2. Step 2: Convert to fraction form
    19,436/42,104 = 42,104/x
  3. Step 3: Cross multiply
    19,436x = 42,104 × 42,104
  4. Step 4: Simplify right side
    19,436x = 1,772,746,816
  5. Step 5: Solve for x
    x = 1,772,746,816/19,436
  6. Step 6: Final answer
    x = 91,209.45

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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.