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Finding the Third Proportional to 3,254.63 and 5,047.31

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Solution

The third proportional to 3,254.63 and 5,047.31 is: 7,827.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.63 : 5,047.31 = 5,047.31 : x
  2. Step 2: Convert to fraction form
    3,254.63/5,047.31 = 5,047.31/x
  3. Step 3: Cross multiply
    3,254.63x = 5,047.31 × 5,047.31
  4. Step 4: Simplify right side
    3,254.63x = 25,475,363.47
  5. Step 5: Solve for x
    x = 25,475,363.47/3,254.63
  6. Step 6: Final answer
    x = 7,827.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.