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Finding the Third Proportional to 23,208.75 and 32,793.75

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Solution

The third proportional to 23,208.75 and 32,793.75 is: 46,337.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,208.75 : 32,793.75 = 32,793.75 : x
  2. Step 2: Convert to fraction form
    23,208.75/32,793.75 = 32,793.75/x
  3. Step 3: Cross multiply
    23,208.75x = 32,793.75 × 32,793.75
  4. Step 4: Simplify right side
    23,208.75x = 1,075,430,039.06
  5. Step 5: Solve for x
    x = 1,075,430,039.06/23,208.75
  6. Step 6: Final answer
    x = 46,337.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.