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Finding the Third Proportional to 4,213 and 9,125

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Solution

The third proportional to 4,213 and 9,125 is: 19,763.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213 : 9,125 = 9,125 : x
  2. Step 2: Convert to fraction form
    4,213/9,125 = 9,125/x
  3. Step 3: Cross multiply
    4,213x = 9,125 × 9,125
  4. Step 4: Simplify right side
    4,213x = 83,265,625
  5. Step 5: Solve for x
    x = 83,265,625/4,213
  6. Step 6: Final answer
    x = 19,763.97

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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.