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Finding the Third Proportional to 19,453 and 30,179

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Solution

The third proportional to 19,453 and 30,179 is: 46,819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,453 : 30,179 = 30,179 : x
  2. Step 2: Convert to fraction form
    19,453/30,179 = 30,179/x
  3. Step 3: Cross multiply
    19,453x = 30,179 × 30,179
  4. Step 4: Simplify right side
    19,453x = 910,772,041
  5. Step 5: Solve for x
    x = 910,772,041/19,453
  6. Step 6: Final answer
    x = 46,819.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.