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Finding the Third Proportional to 47,344 and 71,360

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Solution

The third proportional to 47,344 and 71,360 is: 107,558.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,344 : 71,360 = 71,360 : x
  2. Step 2: Convert to fraction form
    47,344/71,360 = 71,360/x
  3. Step 3: Cross multiply
    47,344x = 71,360 × 71,360
  4. Step 4: Simplify right side
    47,344x = 5,092,249,600
  5. Step 5: Solve for x
    x = 5,092,249,600/47,344
  6. Step 6: Final answer
    x = 107,558.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.