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Finding the Third Proportional to 7,582.13 and 16,122.38

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Solution

The third proportional to 7,582.13 and 16,122.38 is: 34,282.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.13 : 16,122.38 = 16,122.38 : x
  2. Step 2: Convert to fraction form
    7,582.13/16,122.38 = 16,122.38/x
  3. Step 3: Cross multiply
    7,582.13x = 16,122.38 × 16,122.38
  4. Step 4: Simplify right side
    7,582.13x = 259,930,975.64
  5. Step 5: Solve for x
    x = 259,930,975.64/7,582.13
  6. Step 6: Final answer
    x = 34,282.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.