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Finding the Third Proportional to 44,804 and 66,182

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Solution

The third proportional to 44,804 and 66,182 is: 97,760.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,804 : 66,182 = 66,182 : x
  2. Step 2: Convert to fraction form
    44,804/66,182 = 66,182/x
  3. Step 3: Cross multiply
    44,804x = 66,182 × 66,182
  4. Step 4: Simplify right side
    44,804x = 4,380,057,124
  5. Step 5: Solve for x
    x = 4,380,057,124/44,804
  6. Step 6: Final answer
    x = 97,760.40

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.