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Finding the Third Proportional to 11,312 and 17,092

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Solution

The third proportional to 11,312 and 17,092 is: 25,825.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,312 : 17,092 = 17,092 : x
  2. Step 2: Convert to fraction form
    11,312/17,092 = 17,092/x
  3. Step 3: Cross multiply
    11,312x = 17,092 × 17,092
  4. Step 4: Simplify right side
    11,312x = 292,136,464
  5. Step 5: Solve for x
    x = 292,136,464/11,312
  6. Step 6: Final answer
    x = 25,825.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.