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Finding the Third Proportional to 4,110.75 and 8,811.28

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Solution

The third proportional to 4,110.75 and 8,811.28 is: 18,886.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,110.75 : 8,811.28 = 8,811.28 : x
  2. Step 2: Convert to fraction form
    4,110.75/8,811.28 = 8,811.28/x
  3. Step 3: Cross multiply
    4,110.75x = 8,811.28 × 8,811.28
  4. Step 4: Simplify right side
    4,110.75x = 77,638,677.27
  5. Step 5: Solve for x
    x = 77,638,677.27/4,110.75
  6. Step 6: Final answer
    x = 18,886.74

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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.