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Finding the Third Proportional to 50,905.13 and 67,986

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Solution

The third proportional to 50,905.13 and 67,986 is: 90,798.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,905.13 : 67,986 = 67,986 : x
  2. Step 2: Convert to fraction form
    50,905.13/67,986 = 67,986/x
  3. Step 3: Cross multiply
    50,905.13x = 67,986 × 67,986
  4. Step 4: Simplify right side
    50,905.13x = 4,622,096,196
  5. Step 5: Solve for x
    x = 4,622,096,196/50,905.13
  6. Step 6: Final answer
    x = 90,798.25

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.