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Finding the Third Proportional to 6,513 and 9,307

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Solution

The third proportional to 6,513 and 9,307 is: 13,299.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513 : 9,307 = 9,307 : x
  2. Step 2: Convert to fraction form
    6,513/9,307 = 9,307/x
  3. Step 3: Cross multiply
    6,513x = 9,307 × 9,307
  4. Step 4: Simplify right side
    6,513x = 86,620,249
  5. Step 5: Solve for x
    x = 86,620,249/6,513
  6. Step 6: Final answer
    x = 13,299.59

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.