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Finding the Third Proportional to 9,785.58 and 21,812.30

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Solution

The third proportional to 9,785.58 and 21,812.30 is: 48,620.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.58 : 21,812.30 = 21,812.30 : x
  2. Step 2: Convert to fraction form
    9,785.58/21,812.30 = 21,812.30/x
  3. Step 3: Cross multiply
    9,785.58x = 21,812.30 × 21,812.30
  4. Step 4: Simplify right side
    9,785.58x = 475,776,294.96
  5. Step 5: Solve for x
    x = 475,776,294.96/9,785.58
  6. Step 6: Final answer
    x = 48,620.15

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.