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Finding the Third Proportional to 37,090 and 46,994

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Solution

The third proportional to 37,090 and 46,994 is: 59,542.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,090 : 46,994 = 46,994 : x
  2. Step 2: Convert to fraction form
    37,090/46,994 = 46,994/x
  3. Step 3: Cross multiply
    37,090x = 46,994 × 46,994
  4. Step 4: Simplify right side
    37,090x = 2,208,436,036
  5. Step 5: Solve for x
    x = 2,208,436,036/37,090
  6. Step 6: Final answer
    x = 59,542.63

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.