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Finding the Third Proportional to 2,922.19 and 4,536.84

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Solution

The third proportional to 2,922.19 and 4,536.84 is: 7,043.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.19 : 4,536.84 = 4,536.84 : x
  2. Step 2: Convert to fraction form
    2,922.19/4,536.84 = 4,536.84/x
  3. Step 3: Cross multiply
    2,922.19x = 4,536.84 × 4,536.84
  4. Step 4: Simplify right side
    2,922.19x = 20,582,951.21
  5. Step 5: Solve for x
    x = 20,582,951.21/2,922.19
  6. Step 6: Final answer
    x = 7,043.68

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.