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Finding the Third Proportional to 30,201 and 45,229.50

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Solution

The third proportional to 30,201 and 45,229.50 is: 67,736.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,201 : 45,229.50 = 45,229.50 : x
  2. Step 2: Convert to fraction form
    30,201/45,229.50 = 45,229.50/x
  3. Step 3: Cross multiply
    30,201x = 45,229.50 × 45,229.50
  4. Step 4: Simplify right side
    30,201x = 2,045,707,670.25
  5. Step 5: Solve for x
    x = 2,045,707,670.25/30,201
  6. Step 6: Final answer
    x = 67,736.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.