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Finding the Third Proportional to 36,094 and 49,169

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Solution

The third proportional to 36,094 and 49,169 is: 66,980.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,094 : 49,169 = 49,169 : x
  2. Step 2: Convert to fraction form
    36,094/49,169 = 49,169/x
  3. Step 3: Cross multiply
    36,094x = 49,169 × 49,169
  4. Step 4: Simplify right side
    36,094x = 2,417,590,561
  5. Step 5: Solve for x
    x = 2,417,590,561/36,094
  6. Step 6: Final answer
    x = 66,980.40

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.