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Finding the Third Proportional to 9,114 and 19,524

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Solution

The third proportional to 9,114 and 19,524 is: 41,824.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114 : 19,524 = 19,524 : x
  2. Step 2: Convert to fraction form
    9,114/19,524 = 19,524/x
  3. Step 3: Cross multiply
    9,114x = 19,524 × 19,524
  4. Step 4: Simplify right side
    9,114x = 381,186,576
  5. Step 5: Solve for x
    x = 381,186,576/9,114
  6. Step 6: Final answer
    x = 41,824.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.