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Finding the Third Proportional to 46,039 and 71,094

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Solution

The third proportional to 46,039 and 71,094 is: 109,784.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,039 : 71,094 = 71,094 : x
  2. Step 2: Convert to fraction form
    46,039/71,094 = 71,094/x
  3. Step 3: Cross multiply
    46,039x = 71,094 × 71,094
  4. Step 4: Simplify right side
    46,039x = 5,054,356,836
  5. Step 5: Solve for x
    x = 5,054,356,836/46,039
  6. Step 6: Final answer
    x = 109,784.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.