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Finding the Third Proportional to 34,430 and 73,882

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Solution

The third proportional to 34,430 and 73,882 is: 158,540.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,430 : 73,882 = 73,882 : x
  2. Step 2: Convert to fraction form
    34,430/73,882 = 73,882/x
  3. Step 3: Cross multiply
    34,430x = 73,882 × 73,882
  4. Step 4: Simplify right side
    34,430x = 5,458,549,924
  5. Step 5: Solve for x
    x = 5,458,549,924/34,430
  6. Step 6: Final answer
    x = 158,540.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.