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Finding the Third Proportional to 37,086 and 46,989

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Solution

The third proportional to 37,086 and 46,989 is: 59,536.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,086 : 46,989 = 46,989 : x
  2. Step 2: Convert to fraction form
    37,086/46,989 = 46,989/x
  3. Step 3: Cross multiply
    37,086x = 46,989 × 46,989
  4. Step 4: Simplify right side
    37,086x = 2,207,966,121
  5. Step 5: Solve for x
    x = 2,207,966,121/37,086
  6. Step 6: Final answer
    x = 59,536.38

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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.