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Finding the Third Proportional to 7,307 and 10,339

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Solution

The third proportional to 7,307 and 10,339 is: 14,629.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,307 : 10,339 = 10,339 : x
  2. Step 2: Convert to fraction form
    7,307/10,339 = 10,339/x
  3. Step 3: Cross multiply
    7,307x = 10,339 × 10,339
  4. Step 4: Simplify right side
    7,307x = 106,894,921
  5. Step 5: Solve for x
    x = 106,894,921/7,307
  6. Step 6: Final answer
    x = 14,629.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.