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Finding the Third Proportional to 9,918 and 11,254.50

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Solution

The third proportional to 9,918 and 11,254.50 is: 12,771.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,918 : 11,254.50 = 11,254.50 : x
  2. Step 2: Convert to fraction form
    9,918/11,254.50 = 11,254.50/x
  3. Step 3: Cross multiply
    9,918x = 11,254.50 × 11,254.50
  4. Step 4: Simplify right side
    9,918x = 126,663,770.25
  5. Step 5: Solve for x
    x = 126,663,770.25/9,918
  6. Step 6: Final answer
    x = 12,771.10

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.