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Finding the Third Proportional to 2,127.09 and 2,718.14

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Solution

The third proportional to 2,127.09 and 2,718.14 is: 3,473.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.09 : 2,718.14 = 2,718.14 : x
  2. Step 2: Convert to fraction form
    2,127.09/2,718.14 = 2,718.14/x
  3. Step 3: Cross multiply
    2,127.09x = 2,718.14 × 2,718.14
  4. Step 4: Simplify right side
    2,127.09x = 7,388,288.46
  5. Step 5: Solve for x
    x = 7,388,288.46/2,127.09
  6. Step 6: Final answer
    x = 3,473.42

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.