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Finding the Third Proportional to 2,507.63 and 3,684.66

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Solution

The third proportional to 2,507.63 and 3,684.66 is: 5,414.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.63 : 3,684.66 = 3,684.66 : x
  2. Step 2: Convert to fraction form
    2,507.63/3,684.66 = 3,684.66/x
  3. Step 3: Cross multiply
    2,507.63x = 3,684.66 × 3,684.66
  4. Step 4: Simplify right side
    2,507.63x = 13,576,691.68
  5. Step 5: Solve for x
    x = 13,576,691.68/2,507.63
  6. Step 6: Final answer
    x = 5,414.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.