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Finding the Third Proportional to 18,308 and 38,584

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Solution

The third proportional to 18,308 and 38,584 is: 81,315.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,308 : 38,584 = 38,584 : x
  2. Step 2: Convert to fraction form
    18,308/38,584 = 38,584/x
  3. Step 3: Cross multiply
    18,308x = 38,584 × 38,584
  4. Step 4: Simplify right side
    18,308x = 1,488,725,056
  5. Step 5: Solve for x
    x = 1,488,725,056/18,308
  6. Step 6: Final answer
    x = 81,315.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.