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Finding the Third Proportional to 47,928 and 73,563

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Solution

The third proportional to 47,928 and 73,563 is: 112,909.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,928 : 73,563 = 73,563 : x
  2. Step 2: Convert to fraction form
    47,928/73,563 = 73,563/x
  3. Step 3: Cross multiply
    47,928x = 73,563 × 73,563
  4. Step 4: Simplify right side
    47,928x = 5,411,514,969
  5. Step 5: Solve for x
    x = 5,411,514,969/47,928
  6. Step 6: Final answer
    x = 112,909.26

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