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Finding the Third Proportional to 8,322.75 and 18,473.06

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Solution

The third proportional to 8,322.75 and 18,473.06 is: 41,002.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.75 : 18,473.06 = 18,473.06 : x
  2. Step 2: Convert to fraction form
    8,322.75/18,473.06 = 18,473.06/x
  3. Step 3: Cross multiply
    8,322.75x = 18,473.06 × 18,473.06
  4. Step 4: Simplify right side
    8,322.75x = 341,254,038.13
  5. Step 5: Solve for x
    x = 341,254,038.13/8,322.75
  6. Step 6: Final answer
    x = 41,002.56

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.