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Finding the Third Proportional to 28,446.75 and 39,847.50

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Solution

The third proportional to 28,446.75 and 39,847.50 is: 55,817.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,446.75 : 39,847.50 = 39,847.50 : x
  2. Step 2: Convert to fraction form
    28,446.75/39,847.50 = 39,847.50/x
  3. Step 3: Cross multiply
    28,446.75x = 39,847.50 × 39,847.50
  4. Step 4: Simplify right side
    28,446.75x = 1,587,823,256.25
  5. Step 5: Solve for x
    x = 1,587,823,256.25/28,446.75
  6. Step 6: Final answer
    x = 55,817.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.