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Finding the Third Proportional to 10,176 and 15,524

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Solution

The third proportional to 10,176 and 15,524 is: 23,682.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,176 : 15,524 = 15,524 : x
  2. Step 2: Convert to fraction form
    10,176/15,524 = 15,524/x
  3. Step 3: Cross multiply
    10,176x = 15,524 × 15,524
  4. Step 4: Simplify right side
    10,176x = 240,994,576
  5. Step 5: Solve for x
    x = 240,994,576/10,176
  6. Step 6: Final answer
    x = 23,682.64

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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.