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Finding the Third Proportional to 8,526 and 19,383

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Solution

The third proportional to 8,526 and 19,383 is: 44,065.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,526 : 19,383 = 19,383 : x
  2. Step 2: Convert to fraction form
    8,526/19,383 = 19,383/x
  3. Step 3: Cross multiply
    8,526x = 19,383 × 19,383
  4. Step 4: Simplify right side
    8,526x = 375,700,689
  5. Step 5: Solve for x
    x = 375,700,689/8,526
  6. Step 6: Final answer
    x = 44,065.29

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.