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Finding the Third Proportional to 19,462 and 31,219

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Solution

The third proportional to 19,462 and 31,219 is: 50,078.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,462 : 31,219 = 31,219 : x
  2. Step 2: Convert to fraction form
    19,462/31,219 = 31,219/x
  3. Step 3: Cross multiply
    19,462x = 31,219 × 31,219
  4. Step 4: Simplify right side
    19,462x = 974,625,961
  5. Step 5: Solve for x
    x = 974,625,961/19,462
  6. Step 6: Final answer
    x = 50,078.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.