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Finding the Third Proportional to 48,273.47 and 73,846.69

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Solution

The third proportional to 48,273.47 and 73,846.69 is: 112,967.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,273.47 : 73,846.69 = 73,846.69 : x
  2. Step 2: Convert to fraction form
    48,273.47/73,846.69 = 73,846.69/x
  3. Step 3: Cross multiply
    48,273.47x = 73,846.69 × 73,846.69
  4. Step 4: Simplify right side
    48,273.47x = 5,453,333,254.72
  5. Step 5: Solve for x
    x = 5,453,333,254.72/48,273.47
  6. Step 6: Final answer
    x = 112,967.50

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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.