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Finding the Third Proportional to 8,136 and 17,680

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Solution

The third proportional to 8,136 and 17,680 is: 38,419.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136 : 17,680 = 17,680 : x
  2. Step 2: Convert to fraction form
    8,136/17,680 = 17,680/x
  3. Step 3: Cross multiply
    8,136x = 17,680 × 17,680
  4. Step 4: Simplify right side
    8,136x = 312,582,400
  5. Step 5: Solve for x
    x = 312,582,400/8,136
  6. Step 6: Final answer
    x = 38,419.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.