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Finding the Third Proportional to 19,606 and 42,020

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Solution

The third proportional to 19,606 and 42,020 is: 90,058.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,606 : 42,020 = 42,020 : x
  2. Step 2: Convert to fraction form
    19,606/42,020 = 42,020/x
  3. Step 3: Cross multiply
    19,606x = 42,020 × 42,020
  4. Step 4: Simplify right side
    19,606x = 1,765,680,400
  5. Step 5: Solve for x
    x = 1,765,680,400/19,606
  6. Step 6: Final answer
    x = 90,058.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.