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Finding the Third Proportional to 2,709.07 and 4,502.14

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Solution

The third proportional to 2,709.07 and 4,502.14 is: 7,482.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.07 : 4,502.14 = 4,502.14 : x
  2. Step 2: Convert to fraction form
    2,709.07/4,502.14 = 4,502.14/x
  3. Step 3: Cross multiply
    2,709.07x = 4,502.14 × 4,502.14
  4. Step 4: Simplify right side
    2,709.07x = 20,269,305.38
  5. Step 5: Solve for x
    x = 20,269,305.38/2,709.07
  6. Step 6: Final answer
    x = 7,482.02

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.