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Finding the Third Proportional to 841.84 and 1,849.20

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Solution

The third proportional to 841.84 and 1,849.20 is: 4,061.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.84 : 1,849.20 = 1,849.20 : x
  2. Step 2: Convert to fraction form
    841.84/1,849.20 = 1,849.20/x
  3. Step 3: Cross multiply
    841.84x = 1,849.20 × 1,849.20
  4. Step 4: Simplify right side
    841.84x = 3,419,528.72
  5. Step 5: Solve for x
    x = 3,419,528.72/841.84
  6. Step 6: Final answer
    x = 4,061.98

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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.