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Finding the Third Proportional to 2,045.25 and 4,052.53

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Solution

The third proportional to 2,045.25 and 4,052.53 is: 8,029.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.25 : 4,052.53 = 4,052.53 : x
  2. Step 2: Convert to fraction form
    2,045.25/4,052.53 = 4,052.53/x
  3. Step 3: Cross multiply
    2,045.25x = 4,052.53 × 4,052.53
  4. Step 4: Simplify right side
    2,045.25x = 16,423,009.53
  5. Step 5: Solve for x
    x = 16,423,009.53/2,045.25
  6. Step 6: Final answer
    x = 8,029.83

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.