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Finding the Third Proportional to 33,457.88 and 74,296.88

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Solution

The third proportional to 33,457.88 and 74,296.88 is: 164,984.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,457.88 : 74,296.88 = 74,296.88 : x
  2. Step 2: Convert to fraction form
    33,457.88/74,296.88 = 74,296.88/x
  3. Step 3: Cross multiply
    33,457.88x = 74,296.88 × 74,296.88
  4. Step 4: Simplify right side
    33,457.88x = 5,520,025,634.77
  5. Step 5: Solve for x
    x = 5,520,025,634.77/33,457.88
  6. Step 6: Final answer
    x = 164,984.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.