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Finding the Third Proportional to 19,027 and 42,428

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Solution

The third proportional to 19,027 and 42,428 is: 94,609.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,027 : 42,428 = 42,428 : x
  2. Step 2: Convert to fraction form
    19,027/42,428 = 42,428/x
  3. Step 3: Cross multiply
    19,027x = 42,428 × 42,428
  4. Step 4: Simplify right side
    19,027x = 1,800,135,184
  5. Step 5: Solve for x
    x = 1,800,135,184/19,027
  6. Step 6: Final answer
    x = 94,609.51

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.