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Finding the Third Proportional to 19,657 and 41,136

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Solution

The third proportional to 19,657 and 41,136 is: 86,084.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,657 : 41,136 = 41,136 : x
  2. Step 2: Convert to fraction form
    19,657/41,136 = 41,136/x
  3. Step 3: Cross multiply
    19,657x = 41,136 × 41,136
  4. Step 4: Simplify right side
    19,657x = 1,692,170,496
  5. Step 5: Solve for x
    x = 1,692,170,496/19,657
  6. Step 6: Final answer
    x = 86,084.88

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.