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Finding the Third Proportional to 5,724.66 and 12,457.45

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Solution

The third proportional to 5,724.66 and 12,457.45 is: 27,108.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.66 : 12,457.45 = 12,457.45 : x
  2. Step 2: Convert to fraction form
    5,724.66/12,457.45 = 12,457.45/x
  3. Step 3: Cross multiply
    5,724.66x = 12,457.45 × 12,457.45
  4. Step 4: Simplify right side
    5,724.66x = 155,188,138.36
  5. Step 5: Solve for x
    x = 155,188,138.36/5,724.66
  6. Step 6: Final answer
    x = 27,108.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.