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Finding the Third Proportional to 1,782.84 and 3,623.06

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Solution

The third proportional to 1,782.84 and 3,623.06 is: 7,362.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.84 : 3,623.06 = 3,623.06 : x
  2. Step 2: Convert to fraction form
    1,782.84/3,623.06 = 3,623.06/x
  3. Step 3: Cross multiply
    1,782.84x = 3,623.06 × 3,623.06
  4. Step 4: Simplify right side
    1,782.84x = 13,126,581.88
  5. Step 5: Solve for x
    x = 13,126,581.88/1,782.84
  6. Step 6: Final answer
    x = 7,362.72

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.