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Finding the Third Proportional to 33,449.50 and 70,182.63

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Solution

The third proportional to 33,449.50 and 70,182.63 is: 147,254.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,449.50 : 70,182.63 = 70,182.63 : x
  2. Step 2: Convert to fraction form
    33,449.50/70,182.63 = 70,182.63/x
  3. Step 3: Cross multiply
    33,449.50x = 70,182.63 × 70,182.63
  4. Step 4: Simplify right side
    33,449.50x = 4,925,600,851.89
  5. Step 5: Solve for x
    x = 4,925,600,851.89/33,449.50
  6. Step 6: Final answer
    x = 147,254.84

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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.