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Finding the Third Proportional to 24,894.84 and 36,963.84

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Solution

The third proportional to 24,894.84 and 36,963.84 is: 54,883.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,894.84 : 36,963.84 = 36,963.84 : x
  2. Step 2: Convert to fraction form
    24,894.84/36,963.84 = 36,963.84/x
  3. Step 3: Cross multiply
    24,894.84x = 36,963.84 × 36,963.84
  4. Step 4: Simplify right side
    24,894.84x = 1,366,325,744.77
  5. Step 5: Solve for x
    x = 1,366,325,744.77/24,894.84
  6. Step 6: Final answer
    x = 54,883.89

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.