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Finding the Third Proportional to 1,161.84 and 2,457.84

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Solution

The third proportional to 1,161.84 and 2,457.84 is: 5,199.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.84 : 2,457.84 = 2,457.84 : x
  2. Step 2: Convert to fraction form
    1,161.84/2,457.84 = 2,457.84/x
  3. Step 3: Cross multiply
    1,161.84x = 2,457.84 × 2,457.84
  4. Step 4: Simplify right side
    1,161.84x = 6,040,995.90
  5. Step 5: Solve for x
    x = 6,040,995.90/1,161.84
  6. Step 6: Final answer
    x = 5,199.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.