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Finding the Third Proportional to 14,998.18 and 32,401.69

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Solution

The third proportional to 14,998.18 and 32,401.69 is: 69,999.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,998.18 : 32,401.69 = 32,401.69 : x
  2. Step 2: Convert to fraction form
    14,998.18/32,401.69 = 32,401.69/x
  3. Step 3: Cross multiply
    14,998.18x = 32,401.69 × 32,401.69
  4. Step 4: Simplify right side
    14,998.18x = 1,049,869,352.85
  5. Step 5: Solve for x
    x = 1,049,869,352.85/14,998.18
  6. Step 6: Final answer
    x = 69,999.77

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.