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Finding the Third Proportional to 5,110.88 and 11,156.06

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Solution

The third proportional to 5,110.88 and 11,156.06 is: 24,351.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,110.88 : 11,156.06 = 11,156.06 : x
  2. Step 2: Convert to fraction form
    5,110.88/11,156.06 = 11,156.06/x
  3. Step 3: Cross multiply
    5,110.88x = 11,156.06 × 11,156.06
  4. Step 4: Simplify right side
    5,110.88x = 124,457,730.50
  5. Step 5: Solve for x
    x = 124,457,730.50/5,110.88
  6. Step 6: Final answer
    x = 24,351.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.