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Finding the Third Proportional to 14,913.70 and 32,162.48

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Solution

The third proportional to 14,913.70 and 32,162.48 is: 69,360.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,913.70 : 32,162.48 = 32,162.48 : x
  2. Step 2: Convert to fraction form
    14,913.70/32,162.48 = 32,162.48/x
  3. Step 3: Cross multiply
    14,913.70x = 32,162.48 × 32,162.48
  4. Step 4: Simplify right side
    14,913.70x = 1,034,425,401.17
  5. Step 5: Solve for x
    x = 1,034,425,401.17/14,913.70
  6. Step 6: Final answer
    x = 69,360.73

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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.