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Finding the Third Proportional to 11,345.06 and 16,949.25

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Solution

The third proportional to 11,345.06 and 16,949.25 is: 25,321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,345.06 : 16,949.25 = 16,949.25 : x
  2. Step 2: Convert to fraction form
    11,345.06/16,949.25 = 16,949.25/x
  3. Step 3: Cross multiply
    11,345.06x = 16,949.25 × 16,949.25
  4. Step 4: Simplify right side
    11,345.06x = 287,277,075.56
  5. Step 5: Solve for x
    x = 287,277,075.56/11,345.06
  6. Step 6: Final answer
    x = 25,321.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.