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Finding the Third Proportional to 11,686.78 and 17,085.94

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Solution

The third proportional to 11,686.78 and 17,085.94 is: 24,979.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.78 : 17,085.94 = 17,085.94 : x
  2. Step 2: Convert to fraction form
    11,686.78/17,085.94 = 17,085.94/x
  3. Step 3: Cross multiply
    11,686.78x = 17,085.94 × 17,085.94
  4. Step 4: Simplify right side
    11,686.78x = 291,929,260.25
  5. Step 5: Solve for x
    x = 291,929,260.25/11,686.78
  6. Step 6: Final answer
    x = 24,979.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.