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Finding the Third Proportional to 7,457.48 and 16,246.41

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Solution

The third proportional to 7,457.48 and 16,246.41 is: 35,393.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457.48 : 16,246.41 = 16,246.41 : x
  2. Step 2: Convert to fraction form
    7,457.48/16,246.41 = 16,246.41/x
  3. Step 3: Cross multiply
    7,457.48x = 16,246.41 × 16,246.41
  4. Step 4: Simplify right side
    7,457.48x = 263,945,716.04
  5. Step 5: Solve for x
    x = 263,945,716.04/7,457.48
  6. Step 6: Final answer
    x = 35,393.40

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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.