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Finding the Third Proportional to 1,957.63 and 2,684.44

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Solution

The third proportional to 1,957.63 and 2,684.44 is: 3,681.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.63 : 2,684.44 = 2,684.44 : x
  2. Step 2: Convert to fraction form
    1,957.63/2,684.44 = 2,684.44/x
  3. Step 3: Cross multiply
    1,957.63x = 2,684.44 × 2,684.44
  4. Step 4: Simplify right side
    1,957.63x = 7,206,204.69
  5. Step 5: Solve for x
    x = 7,206,204.69/1,957.63
  6. Step 6: Final answer
    x = 3,681.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.