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Finding the Third Proportional to 27,808 and 61,152

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Solution

The third proportional to 27,808 and 61,152 is: 134,478.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,808 : 61,152 = 61,152 : x
  2. Step 2: Convert to fraction form
    27,808/61,152 = 61,152/x
  3. Step 3: Cross multiply
    27,808x = 61,152 × 61,152
  4. Step 4: Simplify right side
    27,808x = 3,739,567,104
  5. Step 5: Solve for x
    x = 3,739,567,104/27,808
  6. Step 6: Final answer
    x = 134,478.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.