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Finding the Third Proportional to 8,994.75 and 19,085.63

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Solution

The third proportional to 8,994.75 and 19,085.63 is: 40,497.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,994.75 : 19,085.63 = 19,085.63 : x
  2. Step 2: Convert to fraction form
    8,994.75/19,085.63 = 19,085.63/x
  3. Step 3: Cross multiply
    8,994.75x = 19,085.63 × 19,085.63
  4. Step 4: Simplify right side
    8,994.75x = 364,261,081.64
  5. Step 5: Solve for x
    x = 364,261,081.64/8,994.75
  6. Step 6: Final answer
    x = 40,497.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.