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Finding the Third Proportional to 6,355.97 and 9,670.64

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Solution

The third proportional to 6,355.97 and 9,670.64 is: 14,713.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.97 : 9,670.64 = 9,670.64 : x
  2. Step 2: Convert to fraction form
    6,355.97/9,670.64 = 9,670.64/x
  3. Step 3: Cross multiply
    6,355.97x = 9,670.64 × 9,670.64
  4. Step 4: Simplify right side
    6,355.97x = 93,521,290.10
  5. Step 5: Solve for x
    x = 93,521,290.10/6,355.97
  6. Step 6: Final answer
    x = 14,713.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.