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Finding the Third Proportional to 8,411.34 and 12,457.55

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Solution

The third proportional to 8,411.34 and 12,457.55 is: 18,450.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.34 : 12,457.55 = 12,457.55 : x
  2. Step 2: Convert to fraction form
    8,411.34/12,457.55 = 12,457.55/x
  3. Step 3: Cross multiply
    8,411.34x = 12,457.55 × 12,457.55
  4. Step 4: Simplify right side
    8,411.34x = 155,190,474.14
  5. Step 5: Solve for x
    x = 155,190,474.14/8,411.34
  6. Step 6: Final answer
    x = 18,450.14

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.