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Finding the Third Proportional to 11,145.41 and 16,307.89

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Solution

The third proportional to 11,145.41 and 16,307.89 is: 23,861.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,145.41 : 16,307.89 = 16,307.89 : x
  2. Step 2: Convert to fraction form
    11,145.41/16,307.89 = 16,307.89/x
  3. Step 3: Cross multiply
    11,145.41x = 16,307.89 × 16,307.89
  4. Step 4: Simplify right side
    11,145.41x = 265,947,424.04
  5. Step 5: Solve for x
    x = 265,947,424.04/11,145.41
  6. Step 6: Final answer
    x = 23,861.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.