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Finding the Third Proportional to 9,790.88 and 22,836.94

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Solution

The third proportional to 9,790.88 and 22,836.94 is: 53,266.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.88 : 22,836.94 = 22,836.94 : x
  2. Step 2: Convert to fraction form
    9,790.88/22,836.94 = 22,836.94/x
  3. Step 3: Cross multiply
    9,790.88x = 22,836.94 × 22,836.94
  4. Step 4: Simplify right side
    9,790.88x = 521,525,714.38
  5. Step 5: Solve for x
    x = 521,525,714.38/9,790.88
  6. Step 6: Final answer
    x = 53,266.51

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.