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Finding the Third Proportional to 832.50 and 2,250

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Solution

The third proportional to 832.50 and 2,250 is: 6,081.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.50 : 2,250 = 2,250 : x
  2. Step 2: Convert to fraction form
    832.50/2,250 = 2,250/x
  3. Step 3: Cross multiply
    832.50x = 2,250 × 2,250
  4. Step 4: Simplify right side
    832.50x = 5,062,500
  5. Step 5: Solve for x
    x = 5,062,500/832.50
  6. Step 6: Final answer
    x = 6,081.08

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.