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Finding the Third Proportional to 2,006.86 and 3,715.03

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Solution

The third proportional to 2,006.86 and 3,715.03 is: 6,877.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.86 : 3,715.03 = 3,715.03 : x
  2. Step 2: Convert to fraction form
    2,006.86/3,715.03 = 3,715.03/x
  3. Step 3: Cross multiply
    2,006.86x = 3,715.03 × 3,715.03
  4. Step 4: Simplify right side
    2,006.86x = 13,801,457.19
  5. Step 5: Solve for x
    x = 13,801,457.19/2,006.86
  6. Step 6: Final answer
    x = 6,877.14

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.