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Finding the Third Proportional to 19,777 and 43,201

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Solution

The third proportional to 19,777 and 43,201 is: 94,368.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,777 : 43,201 = 43,201 : x
  2. Step 2: Convert to fraction form
    19,777/43,201 = 43,201/x
  3. Step 3: Cross multiply
    19,777x = 43,201 × 43,201
  4. Step 4: Simplify right side
    19,777x = 1,866,326,401
  5. Step 5: Solve for x
    x = 1,866,326,401/19,777
  6. Step 6: Final answer
    x = 94,368.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.