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Finding the Third Proportional to 34,954.88 and 54,502.88

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Solution

The third proportional to 34,954.88 and 54,502.88 is: 84,982.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,954.88 : 54,502.88 = 54,502.88 : x
  2. Step 2: Convert to fraction form
    34,954.88/54,502.88 = 54,502.88/x
  3. Step 3: Cross multiply
    34,954.88x = 54,502.88 × 54,502.88
  4. Step 4: Simplify right side
    34,954.88x = 2,970,563,383.27
  5. Step 5: Solve for x
    x = 2,970,563,383.27/34,954.88
  6. Step 6: Final answer
    x = 84,982.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.