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Finding the Third Proportional to 27,984 and 61,152

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Solution

The third proportional to 27,984 and 61,152 is: 133,632.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,984 : 61,152 = 61,152 : x
  2. Step 2: Convert to fraction form
    27,984/61,152 = 61,152/x
  3. Step 3: Cross multiply
    27,984x = 61,152 × 61,152
  4. Step 4: Simplify right side
    27,984x = 3,739,567,104
  5. Step 5: Solve for x
    x = 3,739,567,104/27,984
  6. Step 6: Final answer
    x = 133,632.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.