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Finding the Third Proportional to 46,534.50 and 71,178.75

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Solution

The third proportional to 46,534.50 and 71,178.75 is: 108,874.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,534.50 : 71,178.75 = 71,178.75 : x
  2. Step 2: Convert to fraction form
    46,534.50/71,178.75 = 71,178.75/x
  3. Step 3: Cross multiply
    46,534.50x = 71,178.75 × 71,178.75
  4. Step 4: Simplify right side
    46,534.50x = 5,066,414,451.56
  5. Step 5: Solve for x
    x = 5,066,414,451.56/46,534.50
  6. Step 6: Final answer
    x = 108,874.37

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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.