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Finding the Third Proportional to 43,738 and 63,886

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Solution

The third proportional to 43,738 and 63,886 is: 93,315.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,738 : 63,886 = 63,886 : x
  2. Step 2: Convert to fraction form
    43,738/63,886 = 63,886/x
  3. Step 3: Cross multiply
    43,738x = 63,886 × 63,886
  4. Step 4: Simplify right side
    43,738x = 4,081,420,996
  5. Step 5: Solve for x
    x = 4,081,420,996/43,738
  6. Step 6: Final answer
    x = 93,315.22

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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.