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Finding the Third Proportional to 1,269.84 and 2,945.11

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Solution

The third proportional to 1,269.84 and 2,945.11 is: 6,830.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.84 : 2,945.11 = 2,945.11 : x
  2. Step 2: Convert to fraction form
    1,269.84/2,945.11 = 2,945.11/x
  3. Step 3: Cross multiply
    1,269.84x = 2,945.11 × 2,945.11
  4. Step 4: Simplify right side
    1,269.84x = 8,673,669.23
  5. Step 5: Solve for x
    x = 8,673,669.23/1,269.84
  6. Step 6: Final answer
    x = 6,830.50

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.