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Finding the Third Proportional to 7,408.13 and 17,487.56

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Solution

The third proportional to 7,408.13 and 17,487.56 is: 41,281.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,408.13 : 17,487.56 = 17,487.56 : x
  2. Step 2: Convert to fraction form
    7,408.13/17,487.56 = 17,487.56/x
  3. Step 3: Cross multiply
    7,408.13x = 17,487.56 × 17,487.56
  4. Step 4: Simplify right side
    7,408.13x = 305,814,842.19
  5. Step 5: Solve for x
    x = 305,814,842.19/7,408.13
  6. Step 6: Final answer
    x = 41,281.00

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.