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Finding the Third Proportional to 47,923.50 and 75,024

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Solution

The third proportional to 47,923.50 and 75,024 is: 117,449.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,923.50 : 75,024 = 75,024 : x
  2. Step 2: Convert to fraction form
    47,923.50/75,024 = 75,024/x
  3. Step 3: Cross multiply
    47,923.50x = 75,024 × 75,024
  4. Step 4: Simplify right side
    47,923.50x = 5,628,600,576
  5. Step 5: Solve for x
    x = 5,628,600,576/47,923.50
  6. Step 6: Final answer
    x = 117,449.70

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.