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Finding the Third Proportional to 40,477 and 60,986

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Solution

The third proportional to 40,477 and 60,986 is: 91,886.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,477 : 60,986 = 60,986 : x
  2. Step 2: Convert to fraction form
    40,477/60,986 = 60,986/x
  3. Step 3: Cross multiply
    40,477x = 60,986 × 60,986
  4. Step 4: Simplify right side
    40,477x = 3,719,292,196
  5. Step 5: Solve for x
    x = 3,719,292,196/40,477
  6. Step 6: Final answer
    x = 91,886.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.