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Finding the Third Proportional to 27,034 and 63,152

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Solution

The third proportional to 27,034 and 63,152 is: 147,524.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,034 : 63,152 = 63,152 : x
  2. Step 2: Convert to fraction form
    27,034/63,152 = 63,152/x
  3. Step 3: Cross multiply
    27,034x = 63,152 × 63,152
  4. Step 4: Simplify right side
    27,034x = 3,988,175,104
  5. Step 5: Solve for x
    x = 3,988,175,104/27,034
  6. Step 6: Final answer
    x = 147,524.42

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.