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Finding the Third Proportional to 9,461.25 and 17,511.75

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Solution

The third proportional to 9,461.25 and 17,511.75 is: 32,412.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.25 : 17,511.75 = 17,511.75 : x
  2. Step 2: Convert to fraction form
    9,461.25/17,511.75 = 17,511.75/x
  3. Step 3: Cross multiply
    9,461.25x = 17,511.75 × 17,511.75
  4. Step 4: Simplify right side
    9,461.25x = 306,661,388.06
  5. Step 5: Solve for x
    x = 306,661,388.06/9,461.25
  6. Step 6: Final answer
    x = 32,412.35

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.