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Finding the Third Proportional to 6,187.50 and 9,284.25

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Solution

The third proportional to 6,187.50 and 9,284.25 is: 13,930.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.50 : 9,284.25 = 9,284.25 : x
  2. Step 2: Convert to fraction form
    6,187.50/9,284.25 = 9,284.25/x
  3. Step 3: Cross multiply
    6,187.50x = 9,284.25 × 9,284.25
  4. Step 4: Simplify right side
    6,187.50x = 86,197,298.06
  5. Step 5: Solve for x
    x = 86,197,298.06/6,187.50
  6. Step 6: Final answer
    x = 13,930.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.