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Finding the Third Proportional to 13,506 and 21,573

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Solution

The third proportional to 13,506 and 21,573 is: 34,458.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506 : 21,573 = 21,573 : x
  2. Step 2: Convert to fraction form
    13,506/21,573 = 21,573/x
  3. Step 3: Cross multiply
    13,506x = 21,573 × 21,573
  4. Step 4: Simplify right side
    13,506x = 465,394,329
  5. Step 5: Solve for x
    x = 465,394,329/13,506
  6. Step 6: Final answer
    x = 34,458.34

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.