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Finding the Third Proportional to 33,957 and 70,303.50

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Solution

The third proportional to 33,957 and 70,303.50 is: 145,554.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,957 : 70,303.50 = 70,303.50 : x
  2. Step 2: Convert to fraction form
    33,957/70,303.50 = 70,303.50/x
  3. Step 3: Cross multiply
    33,957x = 70,303.50 × 70,303.50
  4. Step 4: Simplify right side
    33,957x = 4,942,582,112.25
  5. Step 5: Solve for x
    x = 4,942,582,112.25/33,957
  6. Step 6: Final answer
    x = 145,554.15

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.