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Finding the Third Proportional to 53,494.50 and 82,833

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Solution

The third proportional to 53,494.50 and 82,833 is: 128,261.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,494.50 : 82,833 = 82,833 : x
  2. Step 2: Convert to fraction form
    53,494.50/82,833 = 82,833/x
  3. Step 3: Cross multiply
    53,494.50x = 82,833 × 82,833
  4. Step 4: Simplify right side
    53,494.50x = 6,861,305,889
  5. Step 5: Solve for x
    x = 6,861,305,889/53,494.50
  6. Step 6: Final answer
    x = 128,261.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.