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Finding the Third Proportional to 2,145.66 and 4,568.06

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Solution

The third proportional to 2,145.66 and 4,568.06 is: 9,725.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.66 : 4,568.06 = 4,568.06 : x
  2. Step 2: Convert to fraction form
    2,145.66/4,568.06 = 4,568.06/x
  3. Step 3: Cross multiply
    2,145.66x = 4,568.06 × 4,568.06
  4. Step 4: Simplify right side
    2,145.66x = 20,867,195.00
  5. Step 5: Solve for x
    x = 20,867,195.00/2,145.66
  6. Step 6: Final answer
    x = 9,725.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.