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Finding the Third Proportional to 7,402 and 17,417

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Solution

The third proportional to 7,402 and 17,417 is: 40,982.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402 : 17,417 = 17,417 : x
  2. Step 2: Convert to fraction form
    7,402/17,417 = 17,417/x
  3. Step 3: Cross multiply
    7,402x = 17,417 × 17,417
  4. Step 4: Simplify right side
    7,402x = 303,351,889
  5. Step 5: Solve for x
    x = 303,351,889/7,402
  6. Step 6: Final answer
    x = 40,982.42

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.