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Finding the Third Proportional to 9,136 and 19,564

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Solution

The third proportional to 9,136 and 19,564 is: 41,894.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136 : 19,564 = 19,564 : x
  2. Step 2: Convert to fraction form
    9,136/19,564 = 19,564/x
  3. Step 3: Cross multiply
    9,136x = 19,564 × 19,564
  4. Step 4: Simplify right side
    9,136x = 382,750,096
  5. Step 5: Solve for x
    x = 382,750,096/9,136
  6. Step 6: Final answer
    x = 41,894.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.