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Finding the Third Proportional to 19,657 and 41,533

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Solution

The third proportional to 19,657 and 41,533 is: 87,754.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,657 : 41,533 = 41,533 : x
  2. Step 2: Convert to fraction form
    19,657/41,533 = 41,533/x
  3. Step 3: Cross multiply
    19,657x = 41,533 × 41,533
  4. Step 4: Simplify right side
    19,657x = 1,724,990,089
  5. Step 5: Solve for x
    x = 1,724,990,089/19,657
  6. Step 6: Final answer
    x = 87,754.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.