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Finding the Third Proportional to 40,989 and 84,533

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Solution

The third proportional to 40,989 and 84,533 is: 174,335.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,989 : 84,533 = 84,533 : x
  2. Step 2: Convert to fraction form
    40,989/84,533 = 84,533/x
  3. Step 3: Cross multiply
    40,989x = 84,533 × 84,533
  4. Step 4: Simplify right side
    40,989x = 7,145,828,089
  5. Step 5: Solve for x
    x = 7,145,828,089/40,989
  6. Step 6: Final answer
    x = 174,335.26

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.