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Finding the Third Proportional to 4,202 and 8,532

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Solution

The third proportional to 4,202 and 8,532 is: 17,323.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202 : 8,532 = 8,532 : x
  2. Step 2: Convert to fraction form
    4,202/8,532 = 8,532/x
  3. Step 3: Cross multiply
    4,202x = 8,532 × 8,532
  4. Step 4: Simplify right side
    4,202x = 72,795,024
  5. Step 5: Solve for x
    x = 72,795,024/4,202
  6. Step 6: Final answer
    x = 17,323.90

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.