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Finding the Third Proportional to 7,645.96 and 11,574.65

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Solution

The third proportional to 7,645.96 and 11,574.65 is: 17,522.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.96 : 11,574.65 = 11,574.65 : x
  2. Step 2: Convert to fraction form
    7,645.96/11,574.65 = 11,574.65/x
  3. Step 3: Cross multiply
    7,645.96x = 11,574.65 × 11,574.65
  4. Step 4: Simplify right side
    7,645.96x = 133,972,633.40
  5. Step 5: Solve for x
    x = 133,972,633.40/7,645.96
  6. Step 6: Final answer
    x = 17,522.02

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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.