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Finding the Third Proportional to 6,178.78 and 9,308.67

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Solution

The third proportional to 6,178.78 and 9,308.67 is: 14,024.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.78 : 9,308.67 = 9,308.67 : x
  2. Step 2: Convert to fraction form
    6,178.78/9,308.67 = 9,308.67/x
  3. Step 3: Cross multiply
    6,178.78x = 9,308.67 × 9,308.67
  4. Step 4: Simplify right side
    6,178.78x = 86,651,372.08
  5. Step 5: Solve for x
    x = 86,651,372.08/6,178.78
  6. Step 6: Final answer
    x = 14,024.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.