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Finding the Third Proportional to 11,907 and 26,167.50

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Solution

The third proportional to 11,907 and 26,167.50 is: 57,507.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907 : 26,167.50 = 26,167.50 : x
  2. Step 2: Convert to fraction form
    11,907/26,167.50 = 26,167.50/x
  3. Step 3: Cross multiply
    11,907x = 26,167.50 × 26,167.50
  4. Step 4: Simplify right side
    11,907x = 684,738,056.25
  5. Step 5: Solve for x
    x = 684,738,056.25/11,907
  6. Step 6: Final answer
    x = 57,507.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.