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Finding the Third Proportional to 30,996 and 66,911.50

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Solution

The third proportional to 30,996 and 66,911.50 is: 144,442.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,996 : 66,911.50 = 66,911.50 : x
  2. Step 2: Convert to fraction form
    30,996/66,911.50 = 66,911.50/x
  3. Step 3: Cross multiply
    30,996x = 66,911.50 × 66,911.50
  4. Step 4: Simplify right side
    30,996x = 4,477,148,832.25
  5. Step 5: Solve for x
    x = 4,477,148,832.25/30,996
  6. Step 6: Final answer
    x = 144,442.79

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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.