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Finding the Third Proportional to 11,658.30 and 24,840.11

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Solution

The third proportional to 11,658.30 and 24,840.11 is: 52,926.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.30 : 24,840.11 = 24,840.11 : x
  2. Step 2: Convert to fraction form
    11,658.30/24,840.11 = 24,840.11/x
  3. Step 3: Cross multiply
    11,658.30x = 24,840.11 × 24,840.11
  4. Step 4: Simplify right side
    11,658.30x = 617,030,839.70
  5. Step 5: Solve for x
    x = 617,030,839.70/11,658.30
  6. Step 6: Final answer
    x = 52,926.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.