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Finding the Third Proportional to 8,522 and 19,745

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Solution

The third proportional to 8,522 and 19,745 is: 45,748.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522 : 19,745 = 19,745 : x
  2. Step 2: Convert to fraction form
    8,522/19,745 = 19,745/x
  3. Step 3: Cross multiply
    8,522x = 19,745 × 19,745
  4. Step 4: Simplify right side
    8,522x = 389,865,025
  5. Step 5: Solve for x
    x = 389,865,025/8,522
  6. Step 6: Final answer
    x = 45,748.07

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.