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Finding the Third Proportional to 34,097 and 48,121

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Solution

The third proportional to 34,097 and 48,121 is: 67,913.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,097 : 48,121 = 48,121 : x
  2. Step 2: Convert to fraction form
    34,097/48,121 = 48,121/x
  3. Step 3: Cross multiply
    34,097x = 48,121 × 48,121
  4. Step 4: Simplify right side
    34,097x = 2,315,630,641
  5. Step 5: Solve for x
    x = 2,315,630,641/34,097
  6. Step 6: Final answer
    x = 67,913.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.