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Finding the Third Proportional to 11,409 and 26,503.50

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Solution

The third proportional to 11,409 and 26,503.50 is: 61,568.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,409 : 26,503.50 = 26,503.50 : x
  2. Step 2: Convert to fraction form
    11,409/26,503.50 = 26,503.50/x
  3. Step 3: Cross multiply
    11,409x = 26,503.50 × 26,503.50
  4. Step 4: Simplify right side
    11,409x = 702,435,512.25
  5. Step 5: Solve for x
    x = 702,435,512.25/11,409
  6. Step 6: Final answer
    x = 61,568.54

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.