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Finding the Third Proportional to 11,284.88 and 16,927.88

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Solution

The third proportional to 11,284.88 and 16,927.88 is: 25,392.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,284.88 : 16,927.88 = 16,927.88 : x
  2. Step 2: Convert to fraction form
    11,284.88/16,927.88 = 16,927.88/x
  3. Step 3: Cross multiply
    11,284.88x = 16,927.88 × 16,927.88
  4. Step 4: Simplify right side
    11,284.88x = 286,552,952.02
  5. Step 5: Solve for x
    x = 286,552,952.02/11,284.88
  6. Step 6: Final answer
    x = 25,392.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.