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Finding the Third Proportional to 51,592 and 69,608

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Solution

The third proportional to 51,592 and 69,608 is: 93,915.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,592 : 69,608 = 69,608 : x
  2. Step 2: Convert to fraction form
    51,592/69,608 = 69,608/x
  3. Step 3: Cross multiply
    51,592x = 69,608 × 69,608
  4. Step 4: Simplify right side
    51,592x = 4,845,273,664
  5. Step 5: Solve for x
    x = 4,845,273,664/51,592
  6. Step 6: Final answer
    x = 93,915.21

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.