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Finding the Third Proportional to 40,030 and 57,976

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Solution

The third proportional to 40,030 and 57,976 is: 83,967.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,030 : 57,976 = 57,976 : x
  2. Step 2: Convert to fraction form
    40,030/57,976 = 57,976/x
  3. Step 3: Cross multiply
    40,030x = 57,976 × 57,976
  4. Step 4: Simplify right side
    40,030x = 3,361,216,576
  5. Step 5: Solve for x
    x = 3,361,216,576/40,030
  6. Step 6: Final answer
    x = 83,967.44

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.