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Finding the Third Proportional to 47,588 and 73,928

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Solution

The third proportional to 47,588 and 73,928 is: 114,847.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,588 : 73,928 = 73,928 : x
  2. Step 2: Convert to fraction form
    47,588/73,928 = 73,928/x
  3. Step 3: Cross multiply
    47,588x = 73,928 × 73,928
  4. Step 4: Simplify right side
    47,588x = 5,465,349,184
  5. Step 5: Solve for x
    x = 5,465,349,184/47,588
  6. Step 6: Final answer
    x = 114,847.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.