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Finding the Third Proportional to 2,528.44 and 5,158.13

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Solution

The third proportional to 2,528.44 and 5,158.13 is: 10,522.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.44 : 5,158.13 = 5,158.13 : x
  2. Step 2: Convert to fraction form
    2,528.44/5,158.13 = 5,158.13/x
  3. Step 3: Cross multiply
    2,528.44x = 5,158.13 × 5,158.13
  4. Step 4: Simplify right side
    2,528.44x = 26,606,253.52
  5. Step 5: Solve for x
    x = 26,606,253.52/2,528.44
  6. Step 6: Final answer
    x = 10,522.80

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.