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Finding the Third Proportional to 10,307 and 11,765

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Solution

The third proportional to 10,307 and 11,765 is: 13,429.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307 : 11,765 = 11,765 : x
  2. Step 2: Convert to fraction form
    10,307/11,765 = 11,765/x
  3. Step 3: Cross multiply
    10,307x = 11,765 × 11,765
  4. Step 4: Simplify right side
    10,307x = 138,415,225
  5. Step 5: Solve for x
    x = 138,415,225/10,307
  6. Step 6: Final answer
    x = 13,429.24

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.