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Finding the Third Proportional to 783.84 and 1,721.67

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Solution

The third proportional to 783.84 and 1,721.67 is: 3,781.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.84 : 1,721.67 = 1,721.67 : x
  2. Step 2: Convert to fraction form
    783.84/1,721.67 = 1,721.67/x
  3. Step 3: Cross multiply
    783.84x = 1,721.67 × 1,721.67
  4. Step 4: Simplify right side
    783.84x = 2,964,154.05
  5. Step 5: Solve for x
    x = 2,964,154.05/783.84
  6. Step 6: Final answer
    x = 3,781.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.