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Finding the Third Proportional to 33,600 and 70,650

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Solution

The third proportional to 33,600 and 70,650 is: 148,554.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,600 : 70,650 = 70,650 : x
  2. Step 2: Convert to fraction form
    33,600/70,650 = 70,650/x
  3. Step 3: Cross multiply
    33,600x = 70,650 × 70,650
  4. Step 4: Simplify right side
    33,600x = 4,991,422,500
  5. Step 5: Solve for x
    x = 4,991,422,500/33,600
  6. Step 6: Final answer
    x = 148,554.24

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.