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Finding the Third Proportional to 7,357 and 15,038

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Solution

The third proportional to 7,357 and 15,038 is: 30,738.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357 : 15,038 = 15,038 : x
  2. Step 2: Convert to fraction form
    7,357/15,038 = 15,038/x
  3. Step 3: Cross multiply
    7,357x = 15,038 × 15,038
  4. Step 4: Simplify right side
    7,357x = 226,141,444
  5. Step 5: Solve for x
    x = 226,141,444/7,357
  6. Step 6: Final answer
    x = 30,738.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.