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Finding the Third Proportional to 869.48 and 1,892.74

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Solution

The third proportional to 869.48 and 1,892.74 is: 4,120.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.48 : 1,892.74 = 1,892.74 : x
  2. Step 2: Convert to fraction form
    869.48/1,892.74 = 1,892.74/x
  3. Step 3: Cross multiply
    869.48x = 1,892.74 × 1,892.74
  4. Step 4: Simplify right side
    869.48x = 3,582,472.99
  5. Step 5: Solve for x
    x = 3,582,472.99/869.48
  6. Step 6: Final answer
    x = 4,120.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.