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Finding the Third Proportional to 9,760.50 and 23,034

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Solution

The third proportional to 9,760.50 and 23,034 is: 54,358.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.50 : 23,034 = 23,034 : x
  2. Step 2: Convert to fraction form
    9,760.50/23,034 = 23,034/x
  3. Step 3: Cross multiply
    9,760.50x = 23,034 × 23,034
  4. Step 4: Simplify right side
    9,760.50x = 530,565,156
  5. Step 5: Solve for x
    x = 530,565,156/9,760.50
  6. Step 6: Final answer
    x = 54,358.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.