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Finding the Third Proportional to 47,907 and 73,534.50

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Solution

The third proportional to 47,907 and 73,534.50 is: 112,871.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,907 : 73,534.50 = 73,534.50 : x
  2. Step 2: Convert to fraction form
    47,907/73,534.50 = 73,534.50/x
  3. Step 3: Cross multiply
    47,907x = 73,534.50 × 73,534.50
  4. Step 4: Simplify right side
    47,907x = 5,407,322,690.25
  5. Step 5: Solve for x
    x = 5,407,322,690.25/47,907
  6. Step 6: Final answer
    x = 112,871.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.