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Finding the Third Proportional to 2,945.19 and 6,409.94

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Solution

The third proportional to 2,945.19 and 6,409.94 is: 13,950.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.19 : 6,409.94 = 6,409.94 : x
  2. Step 2: Convert to fraction form
    2,945.19/6,409.94 = 6,409.94/x
  3. Step 3: Cross multiply
    2,945.19x = 6,409.94 × 6,409.94
  4. Step 4: Simplify right side
    2,945.19x = 41,087,298.75
  5. Step 5: Solve for x
    x = 41,087,298.75/2,945.19
  6. Step 6: Final answer
    x = 13,950.66

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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.