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Finding the Third Proportional to 19,588 and 42,704

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Solution

The third proportional to 19,588 and 42,704 is: 93,099.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,588 : 42,704 = 42,704 : x
  2. Step 2: Convert to fraction form
    19,588/42,704 = 42,704/x
  3. Step 3: Cross multiply
    19,588x = 42,704 × 42,704
  4. Step 4: Simplify right side
    19,588x = 1,823,631,616
  5. Step 5: Solve for x
    x = 1,823,631,616/19,588
  6. Step 6: Final answer
    x = 93,099.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.