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Finding the Third Proportional to 11,658.94 and 13,663.69

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Solution

The third proportional to 11,658.94 and 13,663.69 is: 16,013.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.94 : 13,663.69 = 13,663.69 : x
  2. Step 2: Convert to fraction form
    11,658.94/13,663.69 = 13,663.69/x
  3. Step 3: Cross multiply
    11,658.94x = 13,663.69 × 13,663.69
  4. Step 4: Simplify right side
    11,658.94x = 186,696,356.10
  5. Step 5: Solve for x
    x = 186,696,356.10/11,658.94
  6. Step 6: Final answer
    x = 16,013.15

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.