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Finding the Third Proportional to 32,030.44 and 67,751.44

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Solution

The third proportional to 32,030.44 and 67,751.44 is: 143,309.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,030.44 : 67,751.44 = 67,751.44 : x
  2. Step 2: Convert to fraction form
    32,030.44/67,751.44 = 67,751.44/x
  3. Step 3: Cross multiply
    32,030.44x = 67,751.44 × 67,751.44
  4. Step 4: Simplify right side
    32,030.44x = 4,590,257,283.32
  5. Step 5: Solve for x
    x = 4,590,257,283.32/32,030.44
  6. Step 6: Final answer
    x = 143,309.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.