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Finding the Third Proportional to 11,776 and 13,486

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Solution

The third proportional to 11,776 and 13,486 is: 15,444.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776 : 13,486 = 13,486 : x
  2. Step 2: Convert to fraction form
    11,776/13,486 = 13,486/x
  3. Step 3: Cross multiply
    11,776x = 13,486 × 13,486
  4. Step 4: Simplify right side
    11,776x = 181,872,196
  5. Step 5: Solve for x
    x = 181,872,196/11,776
  6. Step 6: Final answer
    x = 15,444.31

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.