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Finding the Third Proportional to 30,684 and 66,201

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Solution

The third proportional to 30,684 and 66,201 is: 142,829.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,684 : 66,201 = 66,201 : x
  2. Step 2: Convert to fraction form
    30,684/66,201 = 66,201/x
  3. Step 3: Cross multiply
    30,684x = 66,201 × 66,201
  4. Step 4: Simplify right side
    30,684x = 4,382,572,401
  5. Step 5: Solve for x
    x = 4,382,572,401/30,684
  6. Step 6: Final answer
    x = 142,829.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.