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Finding the Third Proportional to 32,033.25 and 70,303.50

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Solution

The third proportional to 32,033.25 and 70,303.50 is: 154,295.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,033.25 : 70,303.50 = 70,303.50 : x
  2. Step 2: Convert to fraction form
    32,033.25/70,303.50 = 70,303.50/x
  3. Step 3: Cross multiply
    32,033.25x = 70,303.50 × 70,303.50
  4. Step 4: Simplify right side
    32,033.25x = 4,942,582,112.25
  5. Step 5: Solve for x
    x = 4,942,582,112.25/32,033.25
  6. Step 6: Final answer
    x = 154,295.37

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.