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Finding the Third Proportional to 39,968 and 87,584

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Solution

The third proportional to 39,968 and 87,584 is: 191,927.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,968 : 87,584 = 87,584 : x
  2. Step 2: Convert to fraction form
    39,968/87,584 = 87,584/x
  3. Step 3: Cross multiply
    39,968x = 87,584 × 87,584
  4. Step 4: Simplify right side
    39,968x = 7,670,957,056
  5. Step 5: Solve for x
    x = 7,670,957,056/39,968
  6. Step 6: Final answer
    x = 191,927.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.