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Finding the Third Proportional to 4,206 and 9,064

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Solution

The third proportional to 4,206 and 9,064 is: 19,533.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206 : 9,064 = 9,064 : x
  2. Step 2: Convert to fraction form
    4,206/9,064 = 9,064/x
  3. Step 3: Cross multiply
    4,206x = 9,064 × 9,064
  4. Step 4: Simplify right side
    4,206x = 82,156,096
  5. Step 5: Solve for x
    x = 82,156,096/4,206
  6. Step 6: Final answer
    x = 19,533.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.