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Finding the Third Proportional to 9,924.75 and 12,003.75

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Solution

The third proportional to 9,924.75 and 12,003.75 is: 14,518.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.75 : 12,003.75 = 12,003.75 : x
  2. Step 2: Convert to fraction form
    9,924.75/12,003.75 = 12,003.75/x
  3. Step 3: Cross multiply
    9,924.75x = 12,003.75 × 12,003.75
  4. Step 4: Simplify right side
    9,924.75x = 144,090,014.06
  5. Step 5: Solve for x
    x = 144,090,014.06/9,924.75
  6. Step 6: Final answer
    x = 14,518.25

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.