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Finding the Third Proportional to 9,704.81 and 16,000.03

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Solution

The third proportional to 9,704.81 and 16,000.03 is: 26,378.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.81 : 16,000.03 = 16,000.03 : x
  2. Step 2: Convert to fraction form
    9,704.81/16,000.03 = 16,000.03/x
  3. Step 3: Cross multiply
    9,704.81x = 16,000.03 × 16,000.03
  4. Step 4: Simplify right side
    9,704.81x = 256,001,000.00
  5. Step 5: Solve for x
    x = 256,001,000.00/9,704.81
  6. Step 6: Final answer
    x = 26,378.77

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.