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Finding the Third Proportional to 7,788 and 18,122

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Solution

The third proportional to 7,788 and 18,122 is: 42,168.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788 : 18,122 = 18,122 : x
  2. Step 2: Convert to fraction form
    7,788/18,122 = 18,122/x
  3. Step 3: Cross multiply
    7,788x = 18,122 × 18,122
  4. Step 4: Simplify right side
    7,788x = 328,406,884
  5. Step 5: Solve for x
    x = 328,406,884/7,788
  6. Step 6: Final answer
    x = 42,168.32

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.