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Finding the Third Proportional to 9,363.09 and 13,904.16

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Solution

The third proportional to 9,363.09 and 13,904.16 is: 20,647.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,363.09 : 13,904.16 = 13,904.16 : x
  2. Step 2: Convert to fraction form
    9,363.09/13,904.16 = 13,904.16/x
  3. Step 3: Cross multiply
    9,363.09x = 13,904.16 × 13,904.16
  4. Step 4: Simplify right side
    9,363.09x = 193,325,561.02
  5. Step 5: Solve for x
    x = 193,325,561.02/9,363.09
  6. Step 6: Final answer
    x = 20,647.62

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.