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Finding the Third Proportional to 19,465 and 30,201

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Solution

The third proportional to 19,465 and 30,201 is: 46,858.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,465 : 30,201 = 30,201 : x
  2. Step 2: Convert to fraction form
    19,465/30,201 = 30,201/x
  3. Step 3: Cross multiply
    19,465x = 30,201 × 30,201
  4. Step 4: Simplify right side
    19,465x = 912,100,401
  5. Step 5: Solve for x
    x = 912,100,401/19,465
  6. Step 6: Final answer
    x = 46,858.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.