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Finding the Third Proportional to 21,196.69 and 24,841.69

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Solution

The third proportional to 21,196.69 and 24,841.69 is: 29,113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,196.69 : 24,841.69 = 24,841.69 : x
  2. Step 2: Convert to fraction form
    21,196.69/24,841.69 = 24,841.69/x
  3. Step 3: Cross multiply
    21,196.69x = 24,841.69 × 24,841.69
  4. Step 4: Simplify right side
    21,196.69x = 617,109,437.85
  5. Step 5: Solve for x
    x = 617,109,437.85/21,196.69
  6. Step 6: Final answer
    x = 29,113.48

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.