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Finding the Third Proportional to 892.50 and 1,693.88

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Solution

The third proportional to 892.50 and 1,693.88 is: 3,214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.50 : 1,693.88 = 1,693.88 : x
  2. Step 2: Convert to fraction form
    892.50/1,693.88 = 1,693.88/x
  3. Step 3: Cross multiply
    892.50x = 1,693.88 × 1,693.88
  4. Step 4: Simplify right side
    892.50x = 2,869,212.52
  5. Step 5: Solve for x
    x = 2,869,212.52/892.50
  6. Step 6: Final answer
    x = 3,214.80

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.