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Finding the Third Proportional to 15,848 and 36,596

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Solution

The third proportional to 15,848 and 36,596 is: 84,507.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,848 : 36,596 = 36,596 : x
  2. Step 2: Convert to fraction form
    15,848/36,596 = 36,596/x
  3. Step 3: Cross multiply
    15,848x = 36,596 × 36,596
  4. Step 4: Simplify right side
    15,848x = 1,339,267,216
  5. Step 5: Solve for x
    x = 1,339,267,216/15,848
  6. Step 6: Final answer
    x = 84,507.02

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.