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Finding the Third Proportional to 39,422 and 53,113

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Solution

The third proportional to 39,422 and 53,113 is: 71,558.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,422 : 53,113 = 53,113 : x
  2. Step 2: Convert to fraction form
    39,422/53,113 = 53,113/x
  3. Step 3: Cross multiply
    39,422x = 53,113 × 53,113
  4. Step 4: Simplify right side
    39,422x = 2,820,990,769
  5. Step 5: Solve for x
    x = 2,820,990,769/39,422
  6. Step 6: Final answer
    x = 71,558.79

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.