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Finding the Third Proportional to 25,657.17 and 38,383.03

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Solution

The third proportional to 25,657.17 and 38,383.03 is: 57,420.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,657.17 : 38,383.03 = 38,383.03 : x
  2. Step 2: Convert to fraction form
    25,657.17/38,383.03 = 38,383.03/x
  3. Step 3: Cross multiply
    25,657.17x = 38,383.03 × 38,383.03
  4. Step 4: Simplify right side
    25,657.17x = 1,473,257,087.94
  5. Step 5: Solve for x
    x = 1,473,257,087.94/25,657.17
  6. Step 6: Final answer
    x = 57,420.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.