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Finding the Third Proportional to 8,364 and 17,886

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Solution

The third proportional to 8,364 and 17,886 is: 38,248.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364 : 17,886 = 17,886 : x
  2. Step 2: Convert to fraction form
    8,364/17,886 = 17,886/x
  3. Step 3: Cross multiply
    8,364x = 17,886 × 17,886
  4. Step 4: Simplify right side
    8,364x = 319,908,996
  5. Step 5: Solve for x
    x = 319,908,996/8,364
  6. Step 6: Final answer
    x = 38,248.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.