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Finding the Third Proportional to 38,301.75 and 53,624.25

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Solution

The third proportional to 38,301.75 and 53,624.25 is: 75,076.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,301.75 : 53,624.25 = 53,624.25 : x
  2. Step 2: Convert to fraction form
    38,301.75/53,624.25 = 53,624.25/x
  3. Step 3: Cross multiply
    38,301.75x = 53,624.25 × 53,624.25
  4. Step 4: Simplify right side
    38,301.75x = 2,875,560,188.06
  5. Step 5: Solve for x
    x = 2,875,560,188.06/38,301.75
  6. Step 6: Final answer
    x = 75,076.47

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.