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Finding the Third Proportional to 40,686 and 63,765

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Solution

The third proportional to 40,686 and 63,765 is: 99,935.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,686 : 63,765 = 63,765 : x
  2. Step 2: Convert to fraction form
    40,686/63,765 = 63,765/x
  3. Step 3: Cross multiply
    40,686x = 63,765 × 63,765
  4. Step 4: Simplify right side
    40,686x = 4,065,975,225
  5. Step 5: Solve for x
    x = 4,065,975,225/40,686
  6. Step 6: Final answer
    x = 99,935.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.