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Finding the Third Proportional to 2,155 and 4,217

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Solution

The third proportional to 2,155 and 4,217 is: 8,252.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155 : 4,217 = 4,217 : x
  2. Step 2: Convert to fraction form
    2,155/4,217 = 4,217/x
  3. Step 3: Cross multiply
    2,155x = 4,217 × 4,217
  4. Step 4: Simplify right side
    2,155x = 17,783,089
  5. Step 5: Solve for x
    x = 17,783,089/2,155
  6. Step 6: Final answer
    x = 8,252.01

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.