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Finding the Third Proportional to 7,202 and 17,456

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Solution

The third proportional to 7,202 and 17,456 is: 42,309.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202 : 17,456 = 17,456 : x
  2. Step 2: Convert to fraction form
    7,202/17,456 = 17,456/x
  3. Step 3: Cross multiply
    7,202x = 17,456 × 17,456
  4. Step 4: Simplify right side
    7,202x = 304,711,936
  5. Step 5: Solve for x
    x = 304,711,936/7,202
  6. Step 6: Final answer
    x = 42,309.35

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.