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Finding the Third Proportional to 20,253.75 and 53,349.75

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Solution

The third proportional to 20,253.75 and 53,349.75 is: 140,526.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,253.75 : 53,349.75 = 53,349.75 : x
  2. Step 2: Convert to fraction form
    20,253.75/53,349.75 = 53,349.75/x
  3. Step 3: Cross multiply
    20,253.75x = 53,349.75 × 53,349.75
  4. Step 4: Simplify right side
    20,253.75x = 2,846,195,825.06
  5. Step 5: Solve for x
    x = 2,846,195,825.06/20,253.75
  6. Step 6: Final answer
    x = 140,526.86

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.