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Finding the Third Proportional to 2,042 and 5,237

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Solution

The third proportional to 2,042 and 5,237 is: 13,431.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042 : 5,237 = 5,237 : x
  2. Step 2: Convert to fraction form
    2,042/5,237 = 5,237/x
  3. Step 3: Cross multiply
    2,042x = 5,237 × 5,237
  4. Step 4: Simplify right side
    2,042x = 27,426,169
  5. Step 5: Solve for x
    x = 27,426,169/2,042
  6. Step 6: Final answer
    x = 13,431.03

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.