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Finding the Third Proportional to 11,658.66 and 24,980.83

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Solution

The third proportional to 11,658.66 and 24,980.83 is: 53,526.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.66 : 24,980.83 = 24,980.83 : x
  2. Step 2: Convert to fraction form
    11,658.66/24,980.83 = 24,980.83/x
  3. Step 3: Cross multiply
    11,658.66x = 24,980.83 × 24,980.83
  4. Step 4: Simplify right side
    11,658.66x = 624,041,725.02
  5. Step 5: Solve for x
    x = 624,041,725.02/11,658.66
  6. Step 6: Final answer
    x = 53,526.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.