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Finding the Third Proportional to 2,416 and 5,042

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Solution

The third proportional to 2,416 and 5,042 is: 10,522.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416 : 5,042 = 5,042 : x
  2. Step 2: Convert to fraction form
    2,416/5,042 = 5,042/x
  3. Step 3: Cross multiply
    2,416x = 5,042 × 5,042
  4. Step 4: Simplify right side
    2,416x = 25,421,764
  5. Step 5: Solve for x
    x = 25,421,764/2,416
  6. Step 6: Final answer
    x = 10,522.25

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.