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Finding the Third Proportional to 13,554.84 and 24,327.84

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Solution

The third proportional to 13,554.84 and 24,327.84 is: 43,662.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,554.84 : 24,327.84 = 24,327.84 : x
  2. Step 2: Convert to fraction form
    13,554.84/24,327.84 = 24,327.84/x
  3. Step 3: Cross multiply
    13,554.84x = 24,327.84 × 24,327.84
  4. Step 4: Simplify right side
    13,554.84x = 591,843,981.52
  5. Step 5: Solve for x
    x = 591,843,981.52/13,554.84
  6. Step 6: Final answer
    x = 43,662.91

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.