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Finding the Third Proportional to 30,244.50 and 46,182

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Solution

The third proportional to 30,244.50 and 46,182 is: 70,517.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,244.50 : 46,182 = 46,182 : x
  2. Step 2: Convert to fraction form
    30,244.50/46,182 = 46,182/x
  3. Step 3: Cross multiply
    30,244.50x = 46,182 × 46,182
  4. Step 4: Simplify right side
    30,244.50x = 2,132,777,124
  5. Step 5: Solve for x
    x = 2,132,777,124/30,244.50
  6. Step 6: Final answer
    x = 70,517.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.