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Finding the Third Proportional to 1,926.25 and 4,149.38

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Solution

The third proportional to 1,926.25 and 4,149.38 is: 8,938.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.25 : 4,149.38 = 4,149.38 : x
  2. Step 2: Convert to fraction form
    1,926.25/4,149.38 = 4,149.38/x
  3. Step 3: Cross multiply
    1,926.25x = 4,149.38 × 4,149.38
  4. Step 4: Simplify right side
    1,926.25x = 17,217,312.89
  5. Step 5: Solve for x
    x = 17,217,312.89/1,926.25
  6. Step 6: Final answer
    x = 8,938.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.