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Finding the Third Proportional to 11,265.75 and 12,541.50

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Solution

The third proportional to 11,265.75 and 12,541.50 is: 13,961.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,265.75 : 12,541.50 = 12,541.50 : x
  2. Step 2: Convert to fraction form
    11,265.75/12,541.50 = 12,541.50/x
  3. Step 3: Cross multiply
    11,265.75x = 12,541.50 × 12,541.50
  4. Step 4: Simplify right side
    11,265.75x = 157,289,222.25
  5. Step 5: Solve for x
    x = 157,289,222.25/11,265.75
  6. Step 6: Final answer
    x = 13,961.72

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.