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Finding the Third Proportional to 33,912.75 and 53,740.50

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Solution

The third proportional to 33,912.75 and 53,740.50 is: 85,160.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,912.75 : 53,740.50 = 53,740.50 : x
  2. Step 2: Convert to fraction form
    33,912.75/53,740.50 = 53,740.50/x
  3. Step 3: Cross multiply
    33,912.75x = 53,740.50 × 53,740.50
  4. Step 4: Simplify right side
    33,912.75x = 2,888,041,340.25
  5. Step 5: Solve for x
    x = 2,888,041,340.25/33,912.75
  6. Step 6: Final answer
    x = 85,160.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.