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Finding the Third Proportional to 5,780.74 and 11,971.55

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Solution

The third proportional to 5,780.74 and 11,971.55 is: 24,792.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.74 : 11,971.55 = 11,971.55 : x
  2. Step 2: Convert to fraction form
    5,780.74/11,971.55 = 11,971.55/x
  3. Step 3: Cross multiply
    5,780.74x = 11,971.55 × 11,971.55
  4. Step 4: Simplify right side
    5,780.74x = 143,317,934.58
  5. Step 5: Solve for x
    x = 143,317,934.58/5,780.74
  6. Step 6: Final answer
    x = 24,792.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.