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Finding the Third Proportional to 20,386 and 30,201

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Solution

The third proportional to 20,386 and 30,201 is: 44,741.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,386 : 30,201 = 30,201 : x
  2. Step 2: Convert to fraction form
    20,386/30,201 = 30,201/x
  3. Step 3: Cross multiply
    20,386x = 30,201 × 30,201
  4. Step 4: Simplify right side
    20,386x = 912,100,401
  5. Step 5: Solve for x
    x = 912,100,401/20,386
  6. Step 6: Final answer
    x = 44,741.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.