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Finding the Third Proportional to 46,200.38 and 66,771.84

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Solution

The third proportional to 46,200.38 and 66,771.84 is: 96,503.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,200.38 : 66,771.84 = 66,771.84 : x
  2. Step 2: Convert to fraction form
    46,200.38/66,771.84 = 66,771.84/x
  3. Step 3: Cross multiply
    46,200.38x = 66,771.84 × 66,771.84
  4. Step 4: Simplify right side
    46,200.38x = 4,458,479,117.77
  5. Step 5: Solve for x
    x = 4,458,479,117.77/46,200.38
  6. Step 6: Final answer
    x = 96,503.09

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.