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Finding the Third Proportional to 6,384.66 and 7,308.56

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Solution

The third proportional to 6,384.66 and 7,308.56 is: 8,366.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.66 : 7,308.56 = 7,308.56 : x
  2. Step 2: Convert to fraction form
    6,384.66/7,308.56 = 7,308.56/x
  3. Step 3: Cross multiply
    6,384.66x = 7,308.56 × 7,308.56
  4. Step 4: Simplify right side
    6,384.66x = 53,415,085.82
  5. Step 5: Solve for x
    x = 53,415,085.82/6,384.66
  6. Step 6: Final answer
    x = 8,366.16

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.