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Finding the Third Proportional to 11,556.84 and 16,880.06

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Solution

The third proportional to 11,556.84 and 16,880.06 is: 24,655.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,556.84 : 16,880.06 = 16,880.06 : x
  2. Step 2: Convert to fraction form
    11,556.84/16,880.06 = 16,880.06/x
  3. Step 3: Cross multiply
    11,556.84x = 16,880.06 × 16,880.06
  4. Step 4: Simplify right side
    11,556.84x = 284,936,510.00
  5. Step 5: Solve for x
    x = 284,936,510.00/11,556.84
  6. Step 6: Final answer
    x = 24,655.22

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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.