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Finding the Third Proportional to 33,580.50 and 70,609

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Solution

The third proportional to 33,580.50 and 70,609 is: 148,468.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,580.50 : 70,609 = 70,609 : x
  2. Step 2: Convert to fraction form
    33,580.50/70,609 = 70,609/x
  3. Step 3: Cross multiply
    33,580.50x = 70,609 × 70,609
  4. Step 4: Simplify right side
    33,580.50x = 4,985,630,881
  5. Step 5: Solve for x
    x = 4,985,630,881/33,580.50
  6. Step 6: Final answer
    x = 148,468.04

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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.