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Finding the Third Proportional to 19,862 and 42,609

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Solution

The third proportional to 19,862 and 42,609 is: 91,407.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,862 : 42,609 = 42,609 : x
  2. Step 2: Convert to fraction form
    19,862/42,609 = 42,609/x
  3. Step 3: Cross multiply
    19,862x = 42,609 × 42,609
  4. Step 4: Simplify right side
    19,862x = 1,815,526,881
  5. Step 5: Solve for x
    x = 1,815,526,881/19,862
  6. Step 6: Final answer
    x = 91,407.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.