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Finding the Third Proportional to 47,652 and 69,886

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Solution

The third proportional to 47,652 and 69,886 is: 102,494.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,652 : 69,886 = 69,886 : x
  2. Step 2: Convert to fraction form
    47,652/69,886 = 69,886/x
  3. Step 3: Cross multiply
    47,652x = 69,886 × 69,886
  4. Step 4: Simplify right side
    47,652x = 4,884,052,996
  5. Step 5: Solve for x
    x = 4,884,052,996/47,652
  6. Step 6: Final answer
    x = 102,494.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.