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Finding the Third Proportional to 25,596.56 and 38,197.41

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Solution

The third proportional to 25,596.56 and 38,197.41 is: 57,001.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,596.56 : 38,197.41 = 38,197.41 : x
  2. Step 2: Convert to fraction form
    25,596.56/38,197.41 = 38,197.41/x
  3. Step 3: Cross multiply
    25,596.56x = 38,197.41 × 38,197.41
  4. Step 4: Simplify right side
    25,596.56x = 1,459,041,844.23
  5. Step 5: Solve for x
    x = 1,459,041,844.23/25,596.56
  6. Step 6: Final answer
    x = 57,001.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.