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Finding the Third Proportional to 3,417.19 and 7,102.69

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Solution

The third proportional to 3,417.19 and 7,102.69 is: 14,763.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.19 : 7,102.69 = 7,102.69 : x
  2. Step 2: Convert to fraction form
    3,417.19/7,102.69 = 7,102.69/x
  3. Step 3: Cross multiply
    3,417.19x = 7,102.69 × 7,102.69
  4. Step 4: Simplify right side
    3,417.19x = 50,448,169.72
  5. Step 5: Solve for x
    x = 50,448,169.72/3,417.19
  6. Step 6: Final answer
    x = 14,763.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.