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Finding the Third Proportional to 6,278.34 and 9,721.27

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Solution

The third proportional to 6,278.34 and 9,721.27 is: 15,052.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.34 : 9,721.27 = 9,721.27 : x
  2. Step 2: Convert to fraction form
    6,278.34/9,721.27 = 9,721.27/x
  3. Step 3: Cross multiply
    6,278.34x = 9,721.27 × 9,721.27
  4. Step 4: Simplify right side
    6,278.34x = 94,503,005.35
  5. Step 5: Solve for x
    x = 94,503,005.35/6,278.34
  6. Step 6: Final answer
    x = 15,052.22

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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.