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Finding the Third Proportional to 6,417.77 and 13,790.46

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Solution

The third proportional to 6,417.77 and 13,790.46 is: 29,632.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.77 : 13,790.46 = 13,790.46 : x
  2. Step 2: Convert to fraction form
    6,417.77/13,790.46 = 13,790.46/x
  3. Step 3: Cross multiply
    6,417.77x = 13,790.46 × 13,790.46
  4. Step 4: Simplify right side
    6,417.77x = 190,176,812.87
  5. Step 5: Solve for x
    x = 190,176,812.87/6,417.77
  6. Step 6: Final answer
    x = 29,632.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.