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Finding the Third Proportional to 2,619.84 and 4,314.52

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Solution

The third proportional to 2,619.84 and 4,314.52 is: 7,105.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.84 : 4,314.52 = 4,314.52 : x
  2. Step 2: Convert to fraction form
    2,619.84/4,314.52 = 4,314.52/x
  3. Step 3: Cross multiply
    2,619.84x = 4,314.52 × 4,314.52
  4. Step 4: Simplify right side
    2,619.84x = 18,615,045.08
  5. Step 5: Solve for x
    x = 18,615,045.08/2,619.84
  6. Step 6: Final answer
    x = 7,105.40

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.