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Finding the Third Proportional to 34,444 and 53,224

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Solution

The third proportional to 34,444 and 53,224 is: 82,243.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,444 : 53,224 = 53,224 : x
  2. Step 2: Convert to fraction form
    34,444/53,224 = 53,224/x
  3. Step 3: Cross multiply
    34,444x = 53,224 × 53,224
  4. Step 4: Simplify right side
    34,444x = 2,832,794,176
  5. Step 5: Solve for x
    x = 2,832,794,176/34,444
  6. Step 6: Final answer
    x = 82,243.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.