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Finding the Third Proportional to 47,652 and 70,914

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Solution

The third proportional to 47,652 and 70,914 is: 105,531.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,652 : 70,914 = 70,914 : x
  2. Step 2: Convert to fraction form
    47,652/70,914 = 70,914/x
  3. Step 3: Cross multiply
    47,652x = 70,914 × 70,914
  4. Step 4: Simplify right side
    47,652x = 5,028,795,396
  5. Step 5: Solve for x
    x = 5,028,795,396/47,652
  6. Step 6: Final answer
    x = 105,531.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.