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Finding the Third Proportional to 2,548.65 and 3,841.49

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Solution

The third proportional to 2,548.65 and 3,841.49 is: 5,790.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.65 : 3,841.49 = 3,841.49 : x
  2. Step 2: Convert to fraction form
    2,548.65/3,841.49 = 3,841.49/x
  3. Step 3: Cross multiply
    2,548.65x = 3,841.49 × 3,841.49
  4. Step 4: Simplify right side
    2,548.65x = 14,757,032.21
  5. Step 5: Solve for x
    x = 14,757,032.21/2,548.65
  6. Step 6: Final answer
    x = 5,790.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.