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Finding the Third Proportional to 38,907 and 86,886

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Solution

The third proportional to 38,907 and 86,886 is: 194,031.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,907 : 86,886 = 86,886 : x
  2. Step 2: Convert to fraction form
    38,907/86,886 = 86,886/x
  3. Step 3: Cross multiply
    38,907x = 86,886 × 86,886
  4. Step 4: Simplify right side
    38,907x = 7,549,176,996
  5. Step 5: Solve for x
    x = 7,549,176,996/38,907
  6. Step 6: Final answer
    x = 194,031.33

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.