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Finding the Third Proportional to 6,330.66 and 9,374.48

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Solution

The third proportional to 6,330.66 and 9,374.48 is: 13,881.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,330.66 : 9,374.48 = 9,374.48 : x
  2. Step 2: Convert to fraction form
    6,330.66/9,374.48 = 9,374.48/x
  3. Step 3: Cross multiply
    6,330.66x = 9,374.48 × 9,374.48
  4. Step 4: Simplify right side
    6,330.66x = 87,880,957.30
  5. Step 5: Solve for x
    x = 87,880,957.30/6,330.66
  6. Step 6: Final answer
    x = 13,881.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.