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Finding the Third Proportional to 15,596 and 23,858

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Solution

The third proportional to 15,596 and 23,858 is: 36,496.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,596 : 23,858 = 23,858 : x
  2. Step 2: Convert to fraction form
    15,596/23,858 = 23,858/x
  3. Step 3: Cross multiply
    15,596x = 23,858 × 23,858
  4. Step 4: Simplify right side
    15,596x = 569,204,164
  5. Step 5: Solve for x
    x = 569,204,164/15,596
  6. Step 6: Final answer
    x = 36,496.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.