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Finding the Third Proportional to 11,967.75 and 26,010

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Solution

The third proportional to 11,967.75 and 26,010 is: 56,528.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.75 : 26,010 = 26,010 : x
  2. Step 2: Convert to fraction form
    11,967.75/26,010 = 26,010/x
  3. Step 3: Cross multiply
    11,967.75x = 26,010 × 26,010
  4. Step 4: Simplify right side
    11,967.75x = 676,520,100
  5. Step 5: Solve for x
    x = 676,520,100/11,967.75
  6. Step 6: Final answer
    x = 56,528.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.