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Finding the Third Proportional to 39,988 and 92,573

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Solution

The third proportional to 39,988 and 92,573 is: 214,308.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,988 : 92,573 = 92,573 : x
  2. Step 2: Convert to fraction form
    39,988/92,573 = 92,573/x
  3. Step 3: Cross multiply
    39,988x = 92,573 × 92,573
  4. Step 4: Simplify right side
    39,988x = 8,569,760,329
  5. Step 5: Solve for x
    x = 8,569,760,329/39,988
  6. Step 6: Final answer
    x = 214,308.30

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.