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Finding the Third Proportional to 19,767 and 43,221

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Solution

The third proportional to 19,767 and 43,221 is: 94,503.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,767 : 43,221 = 43,221 : x
  2. Step 2: Convert to fraction form
    19,767/43,221 = 43,221/x
  3. Step 3: Cross multiply
    19,767x = 43,221 × 43,221
  4. Step 4: Simplify right side
    19,767x = 1,868,054,841
  5. Step 5: Solve for x
    x = 1,868,054,841/19,767
  6. Step 6: Final answer
    x = 94,503.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.