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Finding the Third Proportional to 7,350.75 and 12,582.84

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Solution

The third proportional to 7,350.75 and 12,582.84 is: 21,539.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,350.75 : 12,582.84 = 12,582.84 : x
  2. Step 2: Convert to fraction form
    7,350.75/12,582.84 = 12,582.84/x
  3. Step 3: Cross multiply
    7,350.75x = 12,582.84 × 12,582.84
  4. Step 4: Simplify right side
    7,350.75x = 158,327,956.84
  5. Step 5: Solve for x
    x = 158,327,956.84/7,350.75
  6. Step 6: Final answer
    x = 21,539.02

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.