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Finding the Third Proportional to 4,216 and 9,136

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Solution

The third proportional to 4,216 and 9,136 is: 19,797.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216 : 9,136 = 9,136 : x
  2. Step 2: Convert to fraction form
    4,216/9,136 = 9,136/x
  3. Step 3: Cross multiply
    4,216x = 9,136 × 9,136
  4. Step 4: Simplify right side
    4,216x = 83,466,496
  5. Step 5: Solve for x
    x = 83,466,496/4,216
  6. Step 6: Final answer
    x = 19,797.56

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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.