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Finding the Third Proportional to 14,647.50 and 21,908.81

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Solution

The third proportional to 14,647.50 and 21,908.81 is: 32,769.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,647.50 : 21,908.81 = 21,908.81 : x
  2. Step 2: Convert to fraction form
    14,647.50/21,908.81 = 21,908.81/x
  3. Step 3: Cross multiply
    14,647.50x = 21,908.81 × 21,908.81
  4. Step 4: Simplify right side
    14,647.50x = 479,996,065.16
  5. Step 5: Solve for x
    x = 479,996,065.16/14,647.50
  6. Step 6: Final answer
    x = 32,769.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.