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Finding the Third Proportional to 46,219.50 and 74,016

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Solution

The third proportional to 46,219.50 and 74,016 is: 118,529.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,219.50 : 74,016 = 74,016 : x
  2. Step 2: Convert to fraction form
    46,219.50/74,016 = 74,016/x
  3. Step 3: Cross multiply
    46,219.50x = 74,016 × 74,016
  4. Step 4: Simplify right side
    46,219.50x = 5,478,368,256
  5. Step 5: Solve for x
    x = 5,478,368,256/46,219.50
  6. Step 6: Final answer
    x = 118,529.37

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.