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Finding the Third Proportional to 4,397.73 and 6,597.07

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Solution

The third proportional to 4,397.73 and 6,597.07 is: 9,896.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,397.73 : 6,597.07 = 6,597.07 : x
  2. Step 2: Convert to fraction form
    4,397.73/6,597.07 = 6,597.07/x
  3. Step 3: Cross multiply
    4,397.73x = 6,597.07 × 6,597.07
  4. Step 4: Simplify right side
    4,397.73x = 43,521,336.71
  5. Step 5: Solve for x
    x = 43,521,336.71/4,397.73
  6. Step 6: Final answer
    x = 9,896.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.