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Finding the Third Proportional to 25,094 and 36,068

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Solution

The third proportional to 25,094 and 36,068 is: 51,841.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,094 : 36,068 = 36,068 : x
  2. Step 2: Convert to fraction form
    25,094/36,068 = 36,068/x
  3. Step 3: Cross multiply
    25,094x = 36,068 × 36,068
  4. Step 4: Simplify right side
    25,094x = 1,300,900,624
  5. Step 5: Solve for x
    x = 1,300,900,624/25,094
  6. Step 6: Final answer
    x = 51,841.10

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.