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Finding the Third Proportional to 43,786 and 63,764

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Solution

The third proportional to 43,786 and 63,764 is: 92,857.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,786 : 63,764 = 63,764 : x
  2. Step 2: Convert to fraction form
    43,786/63,764 = 63,764/x
  3. Step 3: Cross multiply
    43,786x = 63,764 × 63,764
  4. Step 4: Simplify right side
    43,786x = 4,065,847,696
  5. Step 5: Solve for x
    x = 4,065,847,696/43,786
  6. Step 6: Final answer
    x = 92,857.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.