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Finding the Third Proportional to 2,624.91 and 4,014.56

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Solution

The third proportional to 2,624.91 and 4,014.56 is: 6,139.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.91 : 4,014.56 = 4,014.56 : x
  2. Step 2: Convert to fraction form
    2,624.91/4,014.56 = 4,014.56/x
  3. Step 3: Cross multiply
    2,624.91x = 4,014.56 × 4,014.56
  4. Step 4: Simplify right side
    2,624.91x = 16,116,712.07
  5. Step 5: Solve for x
    x = 16,116,712.07/2,624.91
  6. Step 6: Final answer
    x = 6,139.92

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.