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Finding the Third Proportional to 10,310 and 11,786

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Solution

The third proportional to 10,310 and 11,786 is: 13,473.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,310 : 11,786 = 11,786 : x
  2. Step 2: Convert to fraction form
    10,310/11,786 = 11,786/x
  3. Step 3: Cross multiply
    10,310x = 11,786 × 11,786
  4. Step 4: Simplify right side
    10,310x = 138,909,796
  5. Step 5: Solve for x
    x = 138,909,796/10,310
  6. Step 6: Final answer
    x = 13,473.31

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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.