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Finding the Third Proportional to 7,645 and 11,819

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Solution

The third proportional to 7,645 and 11,819 is: 18,271.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645 : 11,819 = 11,819 : x
  2. Step 2: Convert to fraction form
    7,645/11,819 = 11,819/x
  3. Step 3: Cross multiply
    7,645x = 11,819 × 11,819
  4. Step 4: Simplify right side
    7,645x = 139,688,761
  5. Step 5: Solve for x
    x = 139,688,761/7,645
  6. Step 6: Final answer
    x = 18,271.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.