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Finding the Third Proportional to 2,709 and 5,934.94

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Solution

The third proportional to 2,709 and 5,934.94 is: 13,002.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709 : 5,934.94 = 5,934.94 : x
  2. Step 2: Convert to fraction form
    2,709/5,934.94 = 5,934.94/x
  3. Step 3: Cross multiply
    2,709x = 5,934.94 × 5,934.94
  4. Step 4: Simplify right side
    2,709x = 35,223,483.13
  5. Step 5: Solve for x
    x = 35,223,483.13/2,709
  6. Step 6: Final answer
    x = 13,002.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.