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Finding the Third Proportional to 1,892.53 and 4,579.45

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Solution

The third proportional to 1,892.53 and 4,579.45 is: 11,081.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.53 : 4,579.45 = 4,579.45 : x
  2. Step 2: Convert to fraction form
    1,892.53/4,579.45 = 4,579.45/x
  3. Step 3: Cross multiply
    1,892.53x = 4,579.45 × 4,579.45
  4. Step 4: Simplify right side
    1,892.53x = 20,971,390.92
  5. Step 5: Solve for x
    x = 20,971,390.92/1,892.53
  6. Step 6: Final answer
    x = 11,081.13

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.