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Finding the Third Proportional to 19,422 and 42,478

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Solution

The third proportional to 19,422 and 42,478 is: 92,903.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,422 : 42,478 = 42,478 : x
  2. Step 2: Convert to fraction form
    19,422/42,478 = 42,478/x
  3. Step 3: Cross multiply
    19,422x = 42,478 × 42,478
  4. Step 4: Simplify right side
    19,422x = 1,804,380,484
  5. Step 5: Solve for x
    x = 1,804,380,484/19,422
  6. Step 6: Final answer
    x = 92,903.95

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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.