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Finding the Third Proportional to 9,651.38 and 21,079.69

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Solution

The third proportional to 9,651.38 and 21,079.69 is: 46,040.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.38 : 21,079.69 = 21,079.69 : x
  2. Step 2: Convert to fraction form
    9,651.38/21,079.69 = 21,079.69/x
  3. Step 3: Cross multiply
    9,651.38x = 21,079.69 × 21,079.69
  4. Step 4: Simplify right side
    9,651.38x = 444,353,225.10
  5. Step 5: Solve for x
    x = 444,353,225.10/9,651.38
  6. Step 6: Final answer
    x = 46,040.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.