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Finding the Third Proportional to 1,768.50 and 4,591.13

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Solution

The third proportional to 1,768.50 and 4,591.13 is: 11,918.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.50 : 4,591.13 = 4,591.13 : x
  2. Step 2: Convert to fraction form
    1,768.50/4,591.13 = 4,591.13/x
  3. Step 3: Cross multiply
    1,768.50x = 4,591.13 × 4,591.13
  4. Step 4: Simplify right side
    1,768.50x = 21,078,428.77
  5. Step 5: Solve for x
    x = 21,078,428.77/1,768.50
  6. Step 6: Final answer
    x = 11,918.82

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.