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Finding the Third Proportional to 4,102.31 and 6,274.13

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Solution

The third proportional to 4,102.31 and 6,274.13 is: 9,595.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.31 : 6,274.13 = 6,274.13 : x
  2. Step 2: Convert to fraction form
    4,102.31/6,274.13 = 6,274.13/x
  3. Step 3: Cross multiply
    4,102.31x = 6,274.13 × 6,274.13
  4. Step 4: Simplify right side
    4,102.31x = 39,364,644.52
  5. Step 5: Solve for x
    x = 39,364,644.52/4,102.31
  6. Step 6: Final answer
    x = 9,595.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.