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Finding the Third Proportional to 8,910.84 and 12,457.69

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Solution

The third proportional to 8,910.84 and 12,457.69 is: 17,416.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,910.84 : 12,457.69 = 12,457.69 : x
  2. Step 2: Convert to fraction form
    8,910.84/12,457.69 = 12,457.69/x
  3. Step 3: Cross multiply
    8,910.84x = 12,457.69 × 12,457.69
  4. Step 4: Simplify right side
    8,910.84x = 155,193,977.85
  5. Step 5: Solve for x
    x = 155,193,977.85/8,910.84
  6. Step 6: Final answer
    x = 17,416.31

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.