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Finding the Third Proportional to 2,484.84 and 5,459.48

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Solution

The third proportional to 2,484.84 and 5,459.48 is: 11,995.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.84 : 5,459.48 = 5,459.48 : x
  2. Step 2: Convert to fraction form
    2,484.84/5,459.48 = 5,459.48/x
  3. Step 3: Cross multiply
    2,484.84x = 5,459.48 × 5,459.48
  4. Step 4: Simplify right side
    2,484.84x = 29,805,969.64
  5. Step 5: Solve for x
    x = 29,805,969.64/2,484.84
  6. Step 6: Final answer
    x = 11,995.11

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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.