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Finding the Third Proportional to 5,038 and 7,257

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Solution

The third proportional to 5,038 and 7,257 is: 10,453.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038 : 7,257 = 7,257 : x
  2. Step 2: Convert to fraction form
    5,038/7,257 = 7,257/x
  3. Step 3: Cross multiply
    5,038x = 7,257 × 7,257
  4. Step 4: Simplify right side
    5,038x = 52,664,049
  5. Step 5: Solve for x
    x = 52,664,049/5,038
  6. Step 6: Final answer
    x = 10,453.36

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.