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Finding the Third Proportional to 7,521.61 and 11,483.65

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Solution

The third proportional to 7,521.61 and 11,483.65 is: 17,532.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,521.61 : 11,483.65 = 11,483.65 : x
  2. Step 2: Convert to fraction form
    7,521.61/11,483.65 = 11,483.65/x
  3. Step 3: Cross multiply
    7,521.61x = 11,483.65 × 11,483.65
  4. Step 4: Simplify right side
    7,521.61x = 131,874,181.44
  5. Step 5: Solve for x
    x = 131,874,181.44/7,521.61
  6. Step 6: Final answer
    x = 17,532.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.