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Finding the Third Proportional to 3,513.19 and 7,673.44

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Solution

The third proportional to 3,513.19 and 7,673.44 is: 16,760.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.19 : 7,673.44 = 7,673.44 : x
  2. Step 2: Convert to fraction form
    3,513.19/7,673.44 = 7,673.44/x
  3. Step 3: Cross multiply
    3,513.19x = 7,673.44 × 7,673.44
  4. Step 4: Simplify right side
    3,513.19x = 58,881,643.07
  5. Step 5: Solve for x
    x = 58,881,643.07/3,513.19
  6. Step 6: Final answer
    x = 16,760.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.