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Finding the Third Proportional to 9,609.75 and 14,914.13

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Solution

The third proportional to 9,609.75 and 14,914.13 is: 23,146.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.75 : 14,914.13 = 14,914.13 : x
  2. Step 2: Convert to fraction form
    9,609.75/14,914.13 = 14,914.13/x
  3. Step 3: Cross multiply
    9,609.75x = 14,914.13 × 14,914.13
  4. Step 4: Simplify right side
    9,609.75x = 222,431,124.52
  5. Step 5: Solve for x
    x = 222,431,124.52/9,609.75
  6. Step 6: Final answer
    x = 23,146.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.