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Finding the Third Proportional to 2,646.84 and 5,645.11

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Solution

The third proportional to 2,646.84 and 5,645.11 is: 12,039.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.84 : 5,645.11 = 5,645.11 : x
  2. Step 2: Convert to fraction form
    2,646.84/5,645.11 = 5,645.11/x
  3. Step 3: Cross multiply
    2,646.84x = 5,645.11 × 5,645.11
  4. Step 4: Simplify right side
    2,646.84x = 31,867,259.86
  5. Step 5: Solve for x
    x = 31,867,259.86/2,646.84
  6. Step 6: Final answer
    x = 12,039.72

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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.