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Finding the Third Proportional to 54,491 and 73,083

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Solution

The third proportional to 54,491 and 73,083 is: 98,018.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,491 : 73,083 = 73,083 : x
  2. Step 2: Convert to fraction form
    54,491/73,083 = 73,083/x
  3. Step 3: Cross multiply
    54,491x = 73,083 × 73,083
  4. Step 4: Simplify right side
    54,491x = 5,341,124,889
  5. Step 5: Solve for x
    x = 5,341,124,889/54,491
  6. Step 6: Final answer
    x = 98,018.48

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.