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Finding the Third Proportional to 9,623.81 and 12,975.19

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Solution

The third proportional to 9,623.81 and 12,975.19 is: 17,493.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,623.81 : 12,975.19 = 12,975.19 : x
  2. Step 2: Convert to fraction form
    9,623.81/12,975.19 = 12,975.19/x
  3. Step 3: Cross multiply
    9,623.81x = 12,975.19 × 12,975.19
  4. Step 4: Simplify right side
    9,623.81x = 168,355,490.66
  5. Step 5: Solve for x
    x = 168,355,490.66/9,623.81
  6. Step 6: Final answer
    x = 17,493.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.