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Finding the Third Proportional to 40,342 and 53,924

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Solution

The third proportional to 40,342 and 53,924 is: 72,078.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,342 : 53,924 = 53,924 : x
  2. Step 2: Convert to fraction form
    40,342/53,924 = 53,924/x
  3. Step 3: Cross multiply
    40,342x = 53,924 × 53,924
  4. Step 4: Simplify right side
    40,342x = 2,907,797,776
  5. Step 5: Solve for x
    x = 2,907,797,776/40,342
  6. Step 6: Final answer
    x = 72,078.67

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.