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Finding the Third Proportional to 11,590.80 and 24,821.65

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Solution

The third proportional to 11,590.80 and 24,821.65 is: 53,155.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,590.80 : 24,821.65 = 24,821.65 : x
  2. Step 2: Convert to fraction form
    11,590.80/24,821.65 = 24,821.65/x
  3. Step 3: Cross multiply
    11,590.80x = 24,821.65 × 24,821.65
  4. Step 4: Simplify right side
    11,590.80x = 616,114,231.15
  5. Step 5: Solve for x
    x = 616,114,231.15/11,590.80
  6. Step 6: Final answer
    x = 53,155.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.