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Finding the Third Proportional to 5,754.80 and 12,582.84

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Solution

The third proportional to 5,754.80 and 12,582.84 is: 27,512.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.80 : 12,582.84 = 12,582.84 : x
  2. Step 2: Convert to fraction form
    5,754.80/12,582.84 = 12,582.84/x
  3. Step 3: Cross multiply
    5,754.80x = 12,582.84 × 12,582.84
  4. Step 4: Simplify right side
    5,754.80x = 158,327,956.84
  5. Step 5: Solve for x
    x = 158,327,956.84/5,754.80
  6. Step 6: Final answer
    x = 27,512.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.